Yes normal~ though not for all the reasons given above, from an archetypal perspective. I am assuming you are male...? Dreams are the unconscious...
I'm not surprised then that this dream revealed itself to you, sounds like you are on your heart's path and the dream was to assure you of this. Am...
Wow! Such direct contact with your unconsious. She is your anima (whether you are female or male we all have her). Your unconscious has been waiting...
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