Is the use of homeopathic remedies a deal breaker?

I just found out that my girlfriend uses homeopathic remedies. Before meeting her, I would have thought there was no way in hell I could ever date someone who believed in homeopathy.

After some discussion, her only response was that even if it is a scam and a placebo affect, whats wrong with that, if it helps it helps.

Is knowingly using something you know to be a placebo rational behavior? I cant figure out how much of a problem this is for me. I like her otherwise, but I can forsee it becoming an issue when she wants to spend money on the stuff.