Why is she just randomly walking by at the exact moment another woman is holding him? It's a needless misunderstanding after he clearly set boundaries. Does anyone like these misunderstanding?
It's just a (maybe overused) plot device to create conflict.
Maybe few people like it, but the resolution is how you should decide if it was a good idea or not.
Honestly, in my opinion, if Desumi doesn't overreact to it, don't start a long drama, and actually try to investigate what's going on, I'm fine with it.
If she comes over and the other girl start claiming Fudou is hers and the two of them start fighting over Fudou, it might be interesting too.
In fact, I'm fine with it as long as there is no misunderstanding hanging because they decide not to speak with each other.
That's just my opinion, though.