Taken out of context, neither of those would bother me. However, as an answer to 'I have you and that's more than enough' and after clearly establishing that i don't want her with other people, they both concern pretty much the same. It feels she isn't satisfied with the fact that i don't want to share her, and wants to push me in that direction.
After seeing that exchange, i almost thought, 'Oh, this must be some fork where the game asks me if i didn't reconsider on sharing Ann', so i went back to a previous save and refused to continue in the bathroom (thinking it may continue at home or something), resulting in her calling the MC 'way too insecure', which obviously isn't a good (in my opinion) result either.