Ya know now that i think about it her power literally has no limits, i think she's pretty much like haruhi suzumiya cept she's aware of her power and i believe she actually subconsciously wished aaya into existence in her "ideal image" which could explain why she's like the only white haired blue eyed girl in all of the chapters, also she can teleport, make wishes into reality, Time travel and the recent chapter which confirms she's basically immorta.