Do you mean the one who was clearly eating something out of his mouth kissing him? That was part of a cameo in the middle featuring a couple of Japan's 'famous' cats. The one in the hat was Tama-chan and the other two where Karin & Kurin. At one point when meeting the twins, Taisho starts to hit on them and that leads to the rather wtf kiss but it didn't go beyond the cameo.
If you mean the stuffed cat the girl was holding, that was treated as a kind of funny 'is it the cat or the girl that he likes?' joke.