When seeking for attributes in a relationship, Grey, according to the supplemental material, prefers someone soft and caring. She's also a bit of a follower, since she like to be led. This seemed paradoxical at first, given that she is in love with Gauche, who can be nasty, boisterous, and cruel. However, it may be that being cared for by someone else is enough for her to accept them as a partner. Glace, on the other hand, seems like the kind of person who would need a strong leader, since he is mostly alone and has no idea how to take care of himself. He seems to enjoy seeing others suffer and this might not be attractive to Grey at all. Then again, maybe she sees something in him that he doesn't see himself so she tolerates his behavior. In the end, it appears that both characters want different things from a relationship and this might not work out well for them.