THEY NEED EACH OTHER.

"You are the mother who stays up the night  
to look after her child who needs her care.  
You don't heed what some men would proudly say  
as both are born to sigh on their mate's chest. "  
 
Leaving aside the fact that it is not clear what some men would proudly say,  I wonder if you realize that your syntax here makes you state that the sick child you speak of has a mate.  
 
I wonder, too, what anyone who wants to write well would learn from this "all tell ,no show" piece about what goes into writing well and to achieve what Linda Pastan and other award-winning poets have noted is the aim of poetry -- to make a reader see things with their eyes shut.  What's here that a would-be writer of poetry would be jealous of and want to imitate or emulate in his/her own writing?  Please tell me.

"Self-centered fellows think they are great men.
They can attract some women to their beds,
assuming they are clever and they think
that women run to sigh on their wide chests."

Why is it wrong for a man to try to attract a woman?

"How can we compare those most stupid men
with those who respect women and their roles,
like what was performed by Marie Currie,
who could achieve what those lewd men ignore."

You mean Marie 'Curie'.

"Women, you are the wife who fills the house
with her sweet laughter and her silent work.
You are much brighter than those who suppose
you are created to be ruled by men."

In the previous stanza, you suggested that the proper role of women is to become famous physicists and the like.  

But here, you claim women belong at home.  

Which is it?

I think the syntax and metrics could also use some tweaking.

I hope this helps.

1-lt's not wrong for a man to try to attract a woman, but he shouldn't be too proud, and say to sigh on his wide chest.
2-Women can play several roles actively; they can be scientists; they can be excellent wives, who bring happiness to their homes, and they can be tender mothers. They are successful everywhere.
3- Could you show the weak points in the syntax, and metrics please. Thank you for your interest.

Awkward syntax:

1. "that women run to sigh on their wide chests" (the meaning of this phrase escapes me)

2. "like what was performed by Marie Curie,"

3. "You don't heed what some men would proudly say  
as both are born to sigh on their mate's chest."
 
As for metrics, words have natural accents. When a line of verse is written, its sound and rhythm can propel it and make it musical, or it can cause fits and starts. It is a good idea for a poet to have a strategy in this regard.

Example:

"Self-centered fellows think they are great men.  
They can attract some women to their beds,"

The first half of either line above is anapest/amphibrach. The second half of either line above is iambic/trochaic. Below, I have illustrated what that means. Uppercase is accented, and lowercase is unaccented:

"SELF-centered FELlows think THEY are GREAT men.  
THEY can atTRACT some WOMen TO their BEDS,"

In a poem like this, perfect meter is not necessary, but there should be a consistent movement unless you wish to use stops and starts strategically (which is evidently not the case here).


 

Perhaps you do not see
how utterly damn sexist that
you show yourself to be
in all your “poetry” about a woman’s role
within the world.
It’s more than once that you have claimed
that women come into their own,
their natured destiny,
and into happiness
by being married to a man
and staying in his home
to do what you conceive
as women’s work:
to cook, to clean
to nurse her ill struck children
back to heath
to sigh upon her spouse’s chest at night
and keep her girlish looks
so that a man will always see her as
an object of desire,
but never when she has
a business of her own
or makes her way against hard toil
and strife
without the need to be
protected, boosted, or infantalized
by males
All hail the “pure”
obedient and helpless wife!

What is the difference
between my saying that

“The eyes of my old friend
were gray”

and saying this:

“the color in his eyes
was dawn’s ghost light

One sentence “tells”
the other “shows”
and offers us experience
instead of facts.
.
Oh would that you
would write this way
and give to us intensity
instead of clumps of statements
that, in terms of sensory awakenings,
are stale
and pancake flat.

Leaving aside the question of  whether any "lewd" men have or would ignore what M. C. achieved,  isn't this:  
 
"How can we compare those most stupid men  
with those who respect women and their roles,  
like what was performed by Marie Curie,  
who could achieve what those lewd men ignore."  
 
a question?  Shouldn't it end with a question mark?  And if it should,  haven't you given up any grounds for ever noting that someone doesn't know how to properly punctuate postings?

Dear Baldwin,
Please correct the first sentence. It is full of typos.

Another dodge.  Given the fact that you frequently make typos,  my doing so can hardly be a good, let alone a sufficient reason, or compelling grounds for your not responding directly to my remarks.    
 
And now that I have corrected my misspellings,  are you going to reply directly and responsibly to my remarks?  Your post above implies you will.    Or will you find some other (trivial) excuse for not doing so?

Also, the poem comes across as sanctimonious. I read the entire poem several times so I might offer a worthy critique. Under other circumstances, I would not have bothered to read beyond the second line.

Dear Baldwin,
In your poem, you wrote: [ and give to us intensity]. Is this correct, Baldwin? If you are very careful about my writing, why don't you be so about yours?

What's wrong with what I  wrote, especially since your submissions lack anything resembling "intensity"?

Dear H Lemma,

1. "that women run to sigh on their wide chests" (the meaning of this phrase escapes me)
Is this a phrase? First correct your mistake before l think of answering you.

Why do you question whether "that women run to sigh on their wide chests" isn't  a phrase?  Why is calling that group of words a "phrase" wrong?  And is the mischaracterization of a clause really something that justifies your refusal to speak to the remark about how the meaning of the "phrase" is not apparent?  

1-You don't know, Baldwin, what is wrong with [and give to us intensity]. Is it possible? Return to your books of grammar, or ask somebody to help you.    
2- l asked someone else about the word [ phrase]  . Please don't be a solicitor. Let him answer the question he was asked.

I'll ask you again (and give you another opportunity to do what you frequently do, i.e., dodge questions and use ad hominems) what is it that  **you** see as wrong with  "and give to us"  something (i.e., intensity) that you never give readers in your submissions.   The issue is not whether it's possible that I don't know something.  It's what **you** know (or claim to know) is the case.  
 
And what's with your continual use (or rather MISUSE) of brackets for quotation marks?    
 
https://www.enago.com/academy/how-to-use-brackets-in-academic-writing-some-common-rules/

"2- l asked about the[ phrase] to someone else ."

So it IS a phrase.

And is "l asked about the[ phrase] to someone else" good English?

Yes, it is correct. You can ask about something. She asked about his health.

One does not "ask to".