Is The Name Ananya Halal?
The only prohibition in naming people is that the names should not have any aspect of polytheism. Other names are all fine.
There’s no problem with that. Unique can be unique amongst women in her city, women of her age group, women of her skills and talents, and a myriad of of others possibilities. Here are a few names of sahaba with their meanings: Asim (protector), Ka’ab (high/respectful), Khalid (immortal), Malik (king), Ubay (one with high esteem). Prophet SAW didn’t object to any of these names.