I know a pretty fair amount of Jaime/ Jamie's. Both male and female. It's pretty even as to which spelling is used, and from what I can see, gender has no baring here.
Personally, I see Jamie as the correct spelling. It would be correct as the shortening of James, and also it sounds like it's spelled. Jaime sounds like it could be "Jaym."
What do think? Is there a spelling you prefer? Do you think gender matters?