If Superman was a woman assuming everyone else stays the same, what kind of dynamic would she have? Supergirl has the teen hero angle, would Claire/Clara? be more the meek farmgirl from Kansas working of the Planet? or would she adopt a more assertive persona being a working woman in a male dominated industry?
Personally I would like to imagine a friendly rivalry with Lois, similar to how in the Fleischer shorts she and Clark where constantly trying to one up each other. You had Lois no nonsense attitude asserting herself to get the truth while Clara just ease them until they open up to her.