I somehow filed an 'amended' state return and it required me to print it out and mail it in. Am I still going to receive my return as normal?

As long as you have not mailed it in you should be fine.  

Just creating it and printing it will not change anything, and will not affect the processing of your State refund.

If you did mail it in, it might delay your refund, depending on when you filed your original return, and if the State processed your refund before the amended return arrived.