if you feel like a female you should just enter a female toilet. let them stare. you're already a female anyway. i've met a few gay guys who enter the female toilet and the thing is they aren't even pre trans or going through a transition. but i guess they felt comfortable with it because they feel that they belong to the female identity. nothing wrong with it man. if there's a commotion, let it be. finish your business and leave gracefully.
and i agree that singaporeans are nowhere near being open. they should just start accepting things / people the way they are.
cheers to you!