Actually, that's my norm. Not with such a specific question (I never ask which card represents myself, since it usually comes up in my readings anyway), but there is always one card in particular that pops up everywhere...in my daily draws, in my spreads, wherever, but I'll see it several times over the course of a week or so one way or another. Just now it's the Queen of Pentacles.
Usually, I see the recurring card as kind of a "blinking message light," so I do a spread to ask what that particular card is trying to tell me. That's always insightful, it usually reveals some hard truths, and interestingly enough, the card always stops appearing so repeatedly after I do that. Mostly it just gets replaced by another card that wants to pop up everywhere, but that's ok!
I consider myself lucky to have found a deck that can "talk" to me so effectively, especially since I'm also very new to tarot.
Long and short of it...you aren't alone! In fact, I think it's fairly common.