For a second, I thought Entei was being concealed by a huge brown sheet. Then I noticed the scissors in Eiki's hands and it all started to make sense.
By the way, wouldn't Zygarde be an appropriate Pokémon for her to befriend? Zygarde is the Order Pokémon and preserves the balance in its world. Likewise, Eiki is a presence of absolute neutrality within Gensoukyou. (If you want to talk tropes, both would fall under the Lawful Neutral alignment.)