Add a silent e at the end?
Throw on a superficial accent mark on one of the a's.
umlot??
change the u to a w?
or how about if she becomes J.A.G.U.A.R. still in violation of course she would have to break down her name then......

something completely random so she could still be called jaguar, avoid copyright infringement and have a name that makes people go huh why is she called that as they are looking at the new release rack. worked for moe. how many articles were there about that band with the punctuation as part of their name.

Or can you just give her like a really long ass name

Jaguar <something> of illadelph

I was thinking about the Ms. Jaguar but it softens her image too much and i'm pretty sure jag is anybut soft.