If you are friends with your coworker, and you know each other well, then sure, you can get away with calling her a lot of things. I have specific coworkers that I am like this with (in private, away from other coworkers who might not know our relationship)

There is no WAY this would be acceptable until you have established that type of relationship over a long period of time. This guy just started working there, so that is not the case here. The fact that she complained about it means that they don't have that type of relationship, as well.