This is not like attaching tiny components to an intricate board... these are pretty easy to repair and you can do it with a regular soldering iron, with what I'd call a "reasonable amount of care."
Not sure on this myself, but if this was on my bench, what appears to have happened was this ripped off of this:
View attachment 5281694
If that's the case (and yes, check wiring diagrams or pics online first), I'd undo the twisted portion and isolate what needs to be soldered back on.
- You'd use the iron to soften that part on the board and remove the broken off section of wire, exposing the hole.
- Tin the other end that is supposed to go back into it (heat it up and add solder to the newly exposed section of wire).
- Gently heat the hole area while you insert the tinned section of wire, so it makes good contact and then add more solder to properly engage that point into the connection.
If that doesn't fix it and you don't want to mess with it any further, then remove the preamp and replace it with another one. Tone Monster makes pretty decent stuff for the money. I've been happier with some of their offerings than a number of "fancier" preamps which don't have some of the features these do.
(The ones with gain boost onboard are really helpful to make "timid" output basses much more effective).