You have to know how irrational that sounds. How many public restrooms are there in the US. 6 million or so? I can't find a good number except there are about 9 million urinals apparently, so let's oversimlify and say there's maybe 3 million female restrooms, assuming the average matching male restroom has 3 urinals.
Hell let's just say 2 million female restrooms to be conservative.
So in two million restrooms a pervert showed up in one three times. In the last 5 years or so, a pervert in drag showed up once. So the odds of a particular person, encountering a pervert trying to use the trans loophole. So that's 3/(365*5+1 (day for leap year) times 2,000,000). The odds are so slim my calculator didn't have enough room for all the zeroes, we're about like a 1 in 300,000,000 chance)
Keep in mind, letting your daughter, ride in a vehicle puts her at somewhere between 1 in 4000 and one in 8000 of dying in a traffic fatality.