Here's a tip: tilt your head 90 degrees to the side and put them in the outer corner of your eye. That way you're not looking at the dropper and the drop lands on the part of your eyeball that isn't as sensitive.

A magnificent floof

That's heartbreaking but probably true.

Setting the precedent that filling out a gender marker that does not correspond with your sex assigned at birth constitutes material fraud is a horrifying precedent to set. They can prosecute trans people simply for stating who they are to government officials. This is a terrifying road to go down.