Just my 50-cents worth; Please forgive me if this seems coldly rational or completely insensitive or maybe even doesn’t address the OP at all.
I find it harshly ironic that the father is covering his misgivings with such light apprehensions as “Your life would be easier if…”
My imaginative mind is playing with (some presumptions and) a scene in which the daughter is noting, "Dad, maybe you haven’t noticed this in two decades, but I’m female – and, quite frankly, you made me this way* and I didn’t have a choice about that, either.
So, in spite of anyone’s preferences, the reality is that I’ve had a less-than-ideal life just because I’m part of a 51% majority population that is allowed a 35% or less pay scale and suffers a socio-political disadvantage as if we were far less than half the human population. In other words I know quite well what it’s like to be disadvantaged, teased, cheated, scorned, and constantly fearing (if not experiencing) physical, social, legal, and sexual abuse.
I’m glad you want my life to be ideal but, since you didn’t make me an affluent white$ male, I’ve already suffered various hardships over my __ years and the challenges of being gay in modern society are ultimately just one more thing I’ll deal with in life.
But I’ll willingly deal with it (along with those other things) because following my heart will make those other difficulties in life a bit easier to face. Would you really rather I lie to the world, to you, to myself, and endure the constant misery of that deception in addition to all the other challenges I already have to face?"
–G!
*It is, after all, the male that carries & delivers the X and/or Y chromosomes, thereby determining the sexual morphology of the resulting child. Also, given no other clues from the OP, I’m assuming the daughter in this topic is a biological (rather than step-) daughter.
$The OP did not specify the first two but, since he did specify the third, the boolean trio becomes impossible. The daughter has even more challenges to face if she is also non-white, non-affluent, non-Christian, non…
…and if she’s willing to face the challenges of being gay as well, then MORE POWER TO HER!