Accidentally hit a choke coil with my soldering iron… how screwed am I?

[Madeline12]

*sigh* Of course, the last capacitor I needed to replace on my first repair I’ve been working so hard on, I accidentally singed one of the coils connected to pin 6 of a 6T8 socket in my Stewart Warner TV. According to the schematics, it’s the choke coil rated at 15 ohms. It looks pretty burned/black sadly… I believe these coils NEED insulation so… I’m curious if rewinding this is even doable knowing how thin the wiring is. Any ideas how to fix this possibly?

Photo of the coil pre-fry and repair below: