I'd send them another message explaining that you need the item sooner than later for a specific job coming up and that is why you purchased it. If they can not deliver by the time that you need the item, then ask them to go ahead and refund your payment.
I've been selling **** online for almost 16 years and sometimes circumstances come up where I can not or do not ship as quickly as I think I should. I try to explain my situation when it happens, but a couple of times I have not been able to do so.
You always run the risk of something not shipping when you think it should when buying mail order or internet ordering. I ordered some parts in December for an item from a very reputable company that has been in business longer than I've been alive. They finally shipped the items out last week, but I had already purchased them somewhere else, made the repairs and moved on. They sent me a call tag and refund quickly, but still left a bad taste in my mouth for dealing with them in the future.
PayPal gives you 45 days to file as long as you did not send the money as a PayPal Gift. If you sent it as a gift, then you gave the money away and have no recourse with them.
Only 7 days, I wouldn't worry to much. When it gets past 15-20 days, then I'd start raising a stink.
