I headcanon Tsunami as straight.  She often has small crushes that last no more than a few weeks at best, but it's hard to actually win her heart.

Tsunami's dream date would be going to a reck room, where she can smash plates and maybe shoot some air soft guns.  She would scare the crap out of whoever she was with, but it would help her get her anger out.

Tsunami as a parent... she'd probably shout "YOU'RE NOT GOOD ENOUGH FOR MY BABY!" At everyone who tries to date one of her children before chasing them away with whatever she was holding.  She'd read to her children every night (even when they're 18) and would tell them to never grow up.  When her children started to refuse to let her tuck them in, she would cry a little, not wanting her babies to grow up.