Being homeless means simply being without your own home. I was homeless at 21 when I packed a bag and a box of textbooks for law school and ran away from home. I spent time housesitting, those were the better weeks. And time couchsurfing, also not bad. But I did spend time under bridges, or sleeping at the University where the security guards were nice enough not to kick me out.
All of those experiences were being homeless, and I couldn't use shelters because of being trans as due to being on testosterone and obviously not wanting to use a women's shelter and to be fair I wouldn't be allowed to anyway as I passed as male, but not having had any surgery made men's shelters very dangerous for me, I had no choice but to sleep on the street when I ran out of options, or do sex work to have a bed to sleep in for the night.
Please don't diminish someone's experience of homelessness, having to couchsurf is stressful, unpleasant, and just as big an issue as being on the streets homeless.
OP, I suggest looking into community organisations where you live, and seeing if they can help advocate for you to find some stable housing, even if it's in a shelter temporarily if you can handle living in one.
I hope things get better for you soon.