Zero issue with female Robin.
100% issue with a terrible movie that's simply going to pit S'man vs B'man, without much real reason to do so. Never been a huge DC fan, or Marvel really for that matter, but I'm not terribly excited for this movie. I'll reserve my enthusiasm, and my money for after it's out and I hear some reviews of it.
If that actress is the one they're getting for a female Robin, then I am at least happy about that. I actually like her a lot from her career, even as far back as Contact. So at least they got an actress I think could pull off the job with some skill. If she does get the role, I hope she'll at least be good, even if the rest of the movie is shit.