I have created a paper wallet and I've used that address to receive my mining pool coins.

I am also using the windows-qt wallet.  I entered the address generated by the paper wallet and everything seems good.

All my mining coins appear on the wallet-qt program.

I have also encrypted my wallet with a passphrase.

My question is, what if my windows get corrupted and i need to do a clean install and i did not back up my wallet.dat file.
However, the paper wallet (the address and private key) is safe as I backed up in a usb drive.

What happens to my coins then?
Will I still get the coins once I install the windows-qt program and just enter the same public address?

thank you.