Yes why are you? Write and love your writing, it's the most glorious satisfying feeling in the world. And don't worry about whether you've satisfied the original request. If the person you admire is really worthy of being admired as a person, she'll be thrilled that you had joy in creating, not peevish that it didn't match her precise criteria. And I can't believe it'll be crap if you're feeling that inspired. You go girl!