Holidays

Is it a good idea to give a gift to my friend (female) even though I know we are not in a relationship?

I wanted to give her something small since she didn't get anything for Christmas. I liked her, but I know she treats the teddy bear more like a friend, and now I treat her like a friend too.
Is it a good idea to give a gift to my friend (female) even though I know we are not in a relationship?
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