What do you mean by "worth it"? This, I think, is the key to the problem. Would this gift be given with the hope or expectation that you would receive $40 worth of benefit from it? Even if you don't intend it that way, it's possible that her reluctance to receive a gift is because she feels it creates an obligation, either in the form of relational expectations or gifts in return. Perhaps she feels that she will be obligated to reciprocate at the next birthday or other special occaision and it's a bit much for her budget.
A gift should truly be a gift, intended to bless someone without expectation of any kind of return, even gratitude. If a $40 dollar gift is your genuine expression of your appreciation of her friendship, and you have the money to spare, then it is "worth it" at least for you.
In her mind, however, it may create an unwelcome sense of pressure to "repay" the gift either in material terms or in terms of relational transactions. If this is the case, then it's not worth it because it will create tension rather than joy.
Maybe find something cute or silly that you know she'll enjoy without spending a lot. That route may be more "win" for both of you. :)
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