1. Yes, there is polling to that effect.
2. Why did Pete Buttigieg get no lift-off whatsoever in the 2020 primary? He polled well among white people. Very well. But his support in the black community was non-existent, which is why he was not a plausible candidate.
3. The antipathy among black men for queerness is really well documented.
Here's a survey from Pew about this. A quote: "Black Protestants (57%) are much less likely than Catholics (78%) and the religiously unaffiliated (75%) to favor acceptance of homosexuality."
Roughly seven-in-ten Black Christians say that opposing sexism is essential to their faith, as do a similar share of those who belong to other religions.
www.pewresearch.org
Now, maybe that opposition to acceptance of homosexuality isn't causing a drift toward Trump, but something is. It probably isn't his attack on Haitians, you know? It isn't all about sexuality (and gender), but it is implausible that plays no role.
Edit to add: I know that trans and gay are not synonyms. But to the average person who doesn't accept homosexuality, they are.