The Wolf Demon's Unseen Princess (Inuyasha fanfiction)

Yukiko was an orphan, until one day when she was sacrificed to the Wolf Demons, because of her tail and ears, also of her great beauty even at age 12, but when the villiagers left her to die, the King of the Wolf demons, smelled his scent on her, shocked that she was the one night stand daughter with a Dog Demontress, he told Yukiko she was Princess of all the Wolf Demons and she is his second daughter, and he told her about her uknown mother, he told her that her mother wasn't his mate, and her sister Ayame, is his true daughter, she is always nice to her because she believes even though they may not have the same mother they are still family... but on Yukiko's 16th birthday Yukiko heads out alone to be approched by a dog demon, a weirdly dressed priestess, a demon slayer, and a perverted monk, will they be nice or horrible to her?