so far nothing to serious in the romance area of this game (none) but If you play as a female (which I am doing) It is implied that she is a lesbian, only because the base script is written for a male.
during a mission for 'z' he insisted I go after powder, my character stated she's not in the mood for strippers. not too revealing unlike sr2 where you flat out got to watch a stripper.
"NO ONE CARES THAT YOUR LEAVING B.B.Q. BOY!!!!!" - Edge
Thankfully as far as I've seen like the past Saints Row games, they do not have romance options of any kind for gay or straight. Honestly, too much focus on relationships in some games these days.
Anyways, you can customize you're character to be almost any role you can think of. If you're into it, you can have male characters wear some seriously revealing female clothing or streak your way around the city.
I didn't bother with personal preferences in the game and made a female character because its awesome to see women kick ice and take names. Which I guess in a way that would make my character at least bi-curious since there are mentions of strippers and the like.
Isn't it parental nature not to trust the person ******* their kid?