I agree that conflating LGB people (and people of colour) with TRAs is either misguided or disingenuous. Yes, LGB people have suffered discrimination in the past (and some still do in many countries) but as Molly says, that was simply because of their sexual preferences, which have nothing to do with gender.
LGB people, particularly lesbians, suffer discrimination and victimisation from TRAs - how does that fit with the 'most marginalised' narrative? Many LGB people want to disassociate themselves from the 'T' in LGBT, as it is suggesting similarities that are not there.
Saying that self-id allows sex offenders to disguise themselves as women to get access to victims is not the same as saying that gay people are predators. Saying that men entering women's races is unfair is not the same as homophobia, which is simply based on a dislike of gay sexual preferences. Wanting single-sex spaces is not the same as saying that gay men and women should not use the spaces designed for their own sex!
Your point that this award is given by a group that accepts the winner is valid, but the fact that these awards are given at all is troubling for some of us. I exaggerate to make the point, but how would people feel about an award for serial killer of the year? I repeat, for the benefit of those who struggle with analogies, that this is not to suggest that transpeople are serial killers (sorry, but failure to understand how analogies work has derailed discussions before), but to reward someone for furthering a cause that is detrimental to women doesn't sit right for a lot of people.
I have no doubt that your friend, like many transpeople, is a valuable member of society who poses no threat to anyone, and I wish her well. My issue is not with people like that, but with those who want to deny women single-sex spaces (and they were listed a few posts up if you missed it) where they would be safe if male-bodied people were not routinely allowed to enter.