The Anya range is exclusive to Dunelm, I am afraid, and they do not usually indicate whether out of stock items will be replenished. This is because their supply channels are currently not 100% reliable; there is also a disconnect between customer service and merchandising teams which means you never get an accurate or committed response to these kinds of queries.
Your options are to find a suitable alternative or to wait and see if the desk reappears at a later date.