Sometimes players have a solution so solid there is no reason to roll. 1st Mate isn't jealous. She's a pirate/hedonist.
I did base this off of my own gaming experience though the circumstances were different. My character was a priest to a goddess. I had decided that my character has a sexual attraction to the goddess (I was listening to Type O negative). The guy running the game said "No way she is super old and pruny"
I said "that's what my character is into. That's what attracted him to the religion in the first place."
So he created a new stat called 'brownie points' where I could gain favor with her. Courting a goddess isn't easy.