Once upon a time, I was homeless and living in a young women's long-term hostel. I had the choice of single-sex or young people's mixed-sex accommodation because there were places free in each hostel that month. I chose single-sex, and one of the things that makes me a TERF today is that this option isn't available for young women today.
I established a Proper Life thanks to the support I got there, and as a Proper Adult with a Proper Life, I have extended a helping mentoring hand to young adults in a similar position.
All this is to say, the causes of homelessness in young people that I have seen include: fleeing sexual abuse in the family, fleeing substance misuse and associated violence from a parent, homelessness because mother or father's new partner doesn't want them, aging out from the care system, being asked to leave the family home due to their own drug problem, and yes, family homophobia.
However, in the 21st century, the family homophobia seems to be strongly linked to ethnic background, which is a subject polite middle-class people don't like to discuss because they feel racist.
I'm a working class ex-hostel resident, so I guess I'll have to be the brave one and point out that some cultures and nations are still incredibly homophobic.
The below is from the Guardian, which incidentally blames US evangelists for homophobia in Africa, but I'm not convinced we can blame the US for young black men and women being made homeless in the UK because their 2nd generation immigrant parents are disgusted by homosexuality.
Around half of the 60 or so countries worldwide which criminalise same-sex relations are in Africa, though six countries – Angola, Botswana, Mozambique, Lesotho, Seychelles and Mauritius – have decriminalised it in recent years, and South Sudan lifted the death penalty. South Africa, which legalised same-sex marriage in 2006, has constitutional protections against discrimination on the basis of sexual orientation, and has continued to enact legislation to protect gay rights, though homophobic crime persists.
https://www.theguardian.com/commentisfree/2024/mar/13/the-guardian-view-on-africas-homophobic-legislation-western-influences-are-encouraging-hatred
People don't shed their deeply held cultural and religious beliefs upon entry to the UK, and you'll be a better advocate for LGB youth if you acknowledge who is at risk of homelessness.