I am in a very similar situation, only a step ahead (got out of the unsafe environment, stayed at a shelter for a bit, and am now couch surfing). I’m going to respond assuming you absolutely cannot afford rent on your own (idk who can here honestly).
I’m looking for jobs that provide housing. Campgrounds, farms, hotels, etc. Is that ideal and something I really want to do? No. Do places have any reason to hire me over anyone else? Nah man, I have a criminal record and no consistent employment history.
I’ve also applied for section 8, public housing, bridge grants, transitional housing, long term residentials for those with mental illness, 811 housing, and at this point it’s a waiting game.
I hate to say this, but you will get more help after fleeing the abuse and have the “homeless” label. If you have a “disabled” label that’s even better. With those two, you’ll be given priority.