Could a damaged 052x0131-001a Horiz Driver Transformer be my problem?

I have a WG U2000 and couldn't get power to the monitor. I put in a new flyback and was in the process of recapping when I noticed a small transformer/coil with " 052x0131-001a" and the word "CORE" written on top and appears to be blown out on one side. Was this my original problem? If so, where could I order one that wouldn't take 2 weeks to get here?

Any help is greatly appreciated.