Yes, that was just to give her a larger role ( I believe in the book it was a male elf who took Frodo there). That being said, there isn’t much “feminist” about some home-body who just wants to marry & bear a son...
Theoden’s daughter was more “male” (but prettier), but even she wasn’t too tough. In fact, she’s saved by a guy half her size...
Good points and they both couldn’t wait to get married by the end.