Ok. I will admit that I am an idiot, so I won't need constant reminders here

I wanted to make a purchase using bitcoins. I have never used them before. I have no experience or knowledge. I downloaded a wallet from Bitcoin Classic. While it was synchronizing I used my credit card to purchase $500 of bitcoin.
It has been more than a week and my wallet has not finished synchronizing and I have run out of memory twice. I can erase nothing more from my comp and I don't think my wallet will finish synchronizing. During this time, I have read about other ways of doing this (light wallets, torrent downloads, etc.)
What can I do? Where are my coins or money? Can I possibly get a refund, cancel this download and get the coin in a different wallet?
Help please. I am also technologically challenged.
Thanks to anyone who takes the time to respond.
Quick idea is to cancel the CC payment but lets first investigate what happened but need more info. How did you purchase the BTC ... I mean what service or company?
Don't panic, the synchronizing is not big issue. Key to your bitcoins is so called "private key" ( which is already in your wallet file, you can extract it and import to any lightweight wallet ... so I think there is nothing to worry about )