How is it not a choice if there is more than one option? You literally just asked how choices are choices, meaning you just admitted it was a choice.

Lack of shelter, hunger and humiliation aren't moral agents; they're conditions one chooses to change through the use of scarce means. When we talk about compulsion, we're talking about the actions of moral agents; not the conditions which presuppose life itself.

It is universally impossible for any human to consent to a violation of their own bodily integrity without consent, therefore it is objectively and universally immoral to violate the bodily integrity of another human without consent.

If you disagree, when would rape or slavery be moral?