The name I am thinking for my daughter?

Hi everyone, really needed some perspective on this.

So I am 23 weeks pregnant at the moment and I'm thinking the name of 'Lilith'. I think it sounds cute but the real reason is that I love Lilith character from mythology. She was the first woman even before the Eve and actually the first feminist in the history, she was very strong woman that wanted to same-equal treatment like Adam so Adam didn't like it and begged to god to create another woman for him and god created the Eve from Adam's ribs bla bla story goes that way and historically Lilith always shown as a devil, bad woman etc. I really love what it means behind it. It was the name even years ago when I read this story I said "if I have a daughter I'm gonna name her Lilith" BUT now I'm thinking is it fair to give a kid a name that means a lot???

Thanks!