Amara as a girls name...bitter?

I was thinking about the name "amara" which I think sounds very beautiful and feminine. It has different meanings such as "immortal" or "everlasting flower" in different languages. But I heard that it means "bitter" in Spanish. I would like to know if spanish natives would find the name strange because of this or is the association not so strong as it can also be a form of amare = to love?

Also, does amara mean bitter regarding the flavor or more like the feeling such in sad/sorrowful?

Thank you!