She's short, looks like she's around twelve, and usually wears fancy clothes. [Or at least, clothes Shun considers fancy. In any case, it's about the most distinctive combination of descriptors he can come up with for her on short notice.]

Probably. I can remember most of the shinki I've met who've only had one god, but I'm less sure about gods who've only had one shinki. It gets more likely to change the longer you're here, obviously.