Ebay will refund it.
I think when you process the refund, the BPF will appear as part of the refund but you won't be debited for it. That is what used to happen when private sellers paid fees.
Refunds
When you receive a full refund for a cancellation, a return, or for an item that didn't arrive, the Buyer Protection fee will also be refunded in full.
If you receive a partial refund, your refund will include a prorated refund of the Buyer Protection fee. For example, if you receive a refund from the seller of 50% of the item price, you'll be refunded 50% of the Buyer Protection fee that you paid.
"There are two ways to be fooled. One is to believe what isn't true; the other is to refuse to believe what is true.”
Søren Kierkegaard, Danish philosopher (1813 - 1855)
