Cancelling An Order From A Rude Buyer Who Wants Me To Email Them

I sold an item (a personalised poster), and received a very rude and demanding message from the buyer ... "get started on it A.S.A.P. and make sure it arrives (by a certain date), etc. etc, and communicate with me through my email address " (which they gave me in their message). For a start, I know we can only communicate through Ebay, secondly, this buyer lives in another state, and I know there is no way it will arrive in the time frame they want. I sent them a message via Ebay but have had no reply. Am i within my rights if I want to cancel this sale and refund the buyer? I am a pretty laid back person and go out of my way to please, but this buyer just takes the cake ... where have manners gone these days ???  Any advice appreciated ... thanks in advance.