Nothing in the EULA prevents this. Please refer to the EULA for a list of “Star Trek Properties”.
"Q! THE Q? ...that harassed Picard and Sisko and Janeway? THAT Q? He was most definitely male, and you're a woman. Why are you here? Now? And why Me?"
"Well yes. I've decided to be female for a change, you know.. just to see how the other half lives... and why not you? Picard has become such a bore in his old age."