I highly doubt it's anything serious.
Legal terms tend to be sensationalised to give their case more weight, i.e. celebs "suing for defamation of character" and "significant loss of earnings" when some tabloid rag makes **** up.
"inflict significant personal and professional harm" could just be her saying it'd give her some unwanted negative publicity that she doesn't want to deal with, not "MY CAREER DEPENDS ON THESE QUOTES NEVER BEING PUBLICISED".
Realistically, unless there's a direct quote from Gaga herself in those reports that say "I'm going to model myself after Madonna, exploit the gays, fool everyone into believing this Gaga character for money, p.s. I was born with a penis and everything I say is a lie - my future fans are idiots lololol"...I think it'll be fine.