My H had an (in my mind) inappropriate friendship with a co-worker. It always made me uncomfortable. He dismissed my feelings, became defensive, said i was too sensitive and jealous.
They are now in a serious relationship. He says he didn't cheat on me because they didn't start dating until after he walked out on me. He says that dating her is unrelated to his walking out on our marriage. He also has a great bridge in Brooklyn to sell you if you are interested.
I think the friendship is inappropriate if the spouse feels uncomfortable with it. My stbx has many female friends. I was not threatened by his happily married friends from college that he kept in touch with who were also open and friendly to me. This woman who is now his gf? The one that was almost 10 years younger and single? Who brought him gifts of food? And texted him late at night? Not ok, obviously.