I like and understand the compassion you bring to the poem, a compassion sadly missing in our society now with Caligula never once tweeting about the poor and homeless.
The only suggestion I would make is to rename the poem "Street People". I do not see old people in this poem, the physical presence of age. Knowing many US cities very well because of family or business, (NY, DC, Chicago, Portland) I see street people everywhere, but they are rarely "old". I don't know whether that's because you cannot live on the streets in those wintery places and not be young, or the old have found some facility to take them in...but I see street people every day, and few are past 50.
Your poem seems to speak nicely and more generally about street people, and so if you want to write a poem about the old and homeless more detail about that is needed. Certainly being old and homeless or so poor is a scar on our society!
I hope you consider this comment as good feedback. Our mission here is to make each other see our work through other poets.

As Mark has commented...your poem reflects your sensitivity and compassion which are humane qualities....
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I once new a street poet in Berkeley California and bought her book of poems which was pretty good
I wanted to save her, Almost everyone in life fights to keep the wolf from the door We work. we do what we are told, Money rules and sometimes some of us fall into extreme poverty and homelessness
I remember this line from a poem she wrote now 30 years later.

"peacock alley
one way road
let me go hungry
before I get cold"

I think your poems need metaphor, symbol paint your ideas with words,,,Maybe read Charles Bukowski, for many years a bar fly with an unstable home life to say the least and poet extraordinaire Welcome to Neo poet ;)

Normally I do not critique the poetry of those who do not want the raw truth.
But this poem is good, and could be even better, so I will opine.
If you are looking to improve your skills, you have come to the right place.
My first criticism is not really criticism. Do you read your poetry aloud? I recommend that you try doing so. For the longest time I did not myself, but when I did I found myself discovering things about my poetry that I could improve, so try doing it. When you read it aloud, you will find places where the words stumble, where the flow gets choppy.
But I do like the cadence of your poem, overall it really flows very well.
There is only one place where that breaks down for me when I am reading.

"To eat and strengthen the body is not a little thing - it is a must"

This line is necessary, but it seems too long, to me.

But this is a good poem, and I look forward to seeing more from you.

Welcome to Neopoet.