My social interactions have been informing me lately the backlash against trans people isn't coming particularly from the Trump administration but from certain examples of trans activism and progression in the news.
What currently seems to be worrying the public (and of course critics of the trans community) online lately are issues like:
Anyone being able to identify as whatever they want - see: recent cases of mistaken gender in prisons, or in male/female prisoners identifying as trans and being moved to opposite sex prisons where they then go on to allegedly assault someone. The usual comment: "obviously this is going to happen if anyone can identify as anything they like."
Anyone being able to identify as any gender without transition walking into any gender of bathroom. Enough said,we know that story. Admittedly, there have been more cases of people abusing the ability to do this lately, sometimes just in an effort to troll the trans community, or to spark outrage.
Young children increasingly undergoing transition which is more heavily publicized, the willingness of doctors to prescribe hormone blockers before puberty without sufficient studies to show how much potential risk there is in this (according to those concerned), and the push by activists to make transition increasingly quick and easier for children.
Transgender prisoners getting HRT and surgery "on the public's dime". Some are outraged that a lawbreaker should get such a privilege at all, some are outraged that a prisoner will probably get a transition fast-tracked while non-offending trans persons wait 3 to 5 years for the same. (Case in point, this happened in the UK, inmate serving time for murder has been granted access to transition on the NHS).
Schools in UK (Scotland) announcing they are now going to adopt a mandatory LGBTI curriculum; some parents and individuals object to this. Some also object to the idea of "transgender schools" which I believe are running in Australia right now, objection ranging from religious outrage to the criticism of the long-term usefulness of "safe spaces".
The rising rate of detransition, particularly among the teenaged to 20s something FTM demographic.
Whether the military should pay for transgender treatments in other countries than the US.
Laws protecting pronouns and allowing prosecution for not using them being another erosion of free speech.
...and so on. I see this on a consistent basis as there's a news story being posted around or talked about somewhere on some issue to do with the trans demographic almost daily now. On the plus side, the pure bigotry is in the minority and the majority of concerns are about the fact we are moving forward too rapidly in expecting society to change itself to meet our needs, as well as so rapidly that we aren't measuring the risk to making transition easier for young children. Which are valid points to be concerned about, in my opinion.
I deal with talking to people about this almost every day, thankfully usually on a rational/discussion basis. The backlash from what I can see is most definitely coming - on social media, YT etc. and from there filtering into real life - more from the concern towards kids, the teaching of "trans ideology" to those kids, and the potential for criminal "grey areas" caused by items of legislation intended to protect us. And the odd person here and there just wants to complain about medical resources being spent on us, or is just a religious zealot, but those are rare compared (in my experience).
People have some valid concerns. How are we going to deal with the idea of choosing gender and the problem of gendered spaces designed to protect people? How are we going to deal with the subject of trans felons? Should we teach children about this at a young age or not? I don't know. And other people are worried, too. The more visible we become, the more flak we are going to get... at least while we are perceived to be encroaching on other people's rights.
