My GF (who I've been dating for about 3 and a half months) hasn't met any of my mother's or father's side of the family yet.

She wants to meet both, going with me to my mother's for their Christmas celebration and going with me to my father's for theirs.

I said that that was moving a bit fast, and let's just do one side for now.

Now she's depressed and bummed out that I don't want her to meet both sides yet.

Am I overreacting thinking it's too soon or should I just let her meet both sides? If I did the right thing, is there anything I should say/do now?