What do you do when a girl calls you a player?

Ok , I have this problem . I asked this one girl out and she turned me down saying I am too much of a player . She goes on to say that I'll lose interest in her soon and go flirt with someother girl and thus she'll get hurt . I can understand the player tag in the sense that I've asked her to introduce me to a number of her girl friends . She's been like my wingwomen . How do I turn this situation around ? I really do like her !
What do you do when a girl calls you a player?
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