It's literally the first thing that you can try to ask her.Imagine designing a character and choosing to name it Shadowheart.
Is there at least a good lore reason for that name? I just hope there wasn't a dev who thought to himself "this sounds badass" and slapped that generic name on her.
If you play a drow you get a nice piece of reactive dialogue where you can say that that is an unusually good name for an elf. She responds that that is an unusually good sense of humor for a drow.
Was neat since I can imagine the drow being into edgelord stuff like that.