And duo just rejected its own exactly correct answer. Check the software for buts.
Each noun has its own grammatical gender and is completely unaffected by the grammatical gender of other nouns. It's only the adjectives that have to agree with the nouns they modify.
So it makes no difference if you're talking to a man or a woman, the noun "bacio" is masculine and so all of its adjectives, articles, and possessives must be masculine.