Someone requested a book from me with the following condition :

I am not willing to accept paperback books.

But the book they requested IS a paperback. I want to send it to her, but then I'd be afraid she would mark it RWAP. But then again, she is the one who ordered it that way, so I would not be at fault. Right??

If you posted the book correctly, you wouldn't be at fault, but you might have a fight on your hand getting your credit back anyway.

It was posted correctly, and that was the confusing part, especialy when the hardback verision was also availible. I think she accidently requested the paperback version. I just declined it to save on future headaches.

Did you put in the notice for why you couldn't mail the book that it was a paperback? She may have added the wrong ISBN to her wish list or maybe she is requesting this for a family member who doesn't mind paperbacks but has forgotten to turn off her RCs.

I would have turned it down as well. It's not your job to figure out if she's ordering the right book or not and if this is the one book she doesn't mind in paperback.  And people do order the wrong bindings. I had someone ding me for sending a hardcover when they wanted an audio. They didn't even notice that they only paid 1 credit. When I pointed this out and that the listing said it was a hardcover she said then it was a problem with PBS because she knew she had ordered an audiobook.  (the audio WL at the time if I remember right and the hardcover was heavily posted). 

If you posted the book correctly, you wouldn't be at fault,

I would have to disagree. Even if the RC makes no sense and the logical conclusion is that they don't mean what they say, if your book cannot meet the RC you need to turn it down. If you have a paperback book, then you clearly cannot meet the RC and would need to turn it down or risk a RWAP-didn't meet RCs.

I agree, turn down the request.  I wouldn't take the risk.

I would have turned it down without even thinking about it. They say they don't want them so I won't send one. If it was a mistake on their part, they can always turn off the RC and reorder.

Good choice Tamara.  I agree with Amee, let the requester decide what they really wanted, and reorder if necessary.  Their confusion doesn't need to become your problem.

Why would you want to deal with this confused person? You're asking for trouble if you do.

I'd decline and then gently explain the dilemma.

I'd have turned it down. Yes it was posted as a paperback book. But, the RC says they are not willing to accept paperback books, so although they did order it, I would assume the RC would negate the order. I would turn it down and tell them why. You might just get a re-order without the RC! :)

Decline the request, and add the comment "This book is a paperback, and your Requestor Condition states that you will not accept paperback books."  Maybe she ordered the paperback by mistake.  You could also add that if she really does want the paperback version, she can turn off her RC's when ordering it.

When you decline because of RC's, your book will go back to the first position in line, so it will more than likely be ordered again soon.