My 4-year-old daughter despises her unique name- is it too late to change it?

Will she grow out of this mood?

My 4-year-old daughter hates her name. Personally, I think it is a lovely name, but she has started to despise it and now I feel so guilty. There was one name I had adored since I was a young girl, but now I worry it is too unique. When she was born, I decided to call her Philomena. "Her name is Philomena. We are in the US." "I read the name in a novel and I absolutely loved it from a young age. So when I had a daughter I named her Philomena." "We call her Pippa, and she insisted her name is Pippa. She is not Philomena.” I didn't want to give her a super common name, but I don't see anything wrong with Philomena. It's sweet and traditional, but she insists her name is Pippa. “I still love the name. I don’t think it’s weird. Like it’s spelled properly and it’s not absurd." "I didn’t want them super common, but I also didn’t want them weird, you know?” The name Philomena means 'powerful love'. I think it's adorable, but is it a little too out there? What do you think of the name?