What's a good strategy for dealing with adverse opinions?

I periodically run into aggressive females who are very up in arms against Christianity. Me being more of an agnostic type I'd rather listen to a Catholic sermon than their godless psychobabbly nonsense. What would a good christian supposed to do in such a situation? I'm very much inclined to mention to her that service of a psychoanalyst cost money and she have not paid me any but given that it's a work environment I don't want to make enemies there dealing with the outcome of man hating ideologies such as feminism taking deep roots and metastasized in societies well beyond where suffragist movement have started (and degenerated into this). I've tried to make a point that my disgust with islam does not mean I'm disgusted by any religion, but she might have thought she found an ally in her argument.