Broken coil wire - repair or replace?

I was preparing to install a 4 way switch on my new Classic Vibe Tele tonight, and somehow I broke the tiny wire on the neck pickup, between the eyelet and the coil itself (the right side or high-E string side, if that makes a difference). I was trying to de-solder the ground from the chrome cover.

Is this wire I broke solderable by someone without a microscope? Or should I look around for a replacement pickup (it seems like lots of people are "Esquiring" their guitars around here...).

Some day I'll actually be playing this guitar.

There is nothing magic about that pickup. Just replace it. You can get a new Tele neck pickup cheap from GFS. It might even be better.

I have done this before.. If it's the finish wire, and it sounds like it is, you can unwrap a turn or two and re-solder it. The trick is to use enough heat to melt the insulation but not too much to burn the wire in half.

Unwrap a turn or two and re-sodder. You can use a razor blade to carefully scrape off the insulation.

put the solder on the plates eyelet, keep the solder in a drop. Use tweezers to hold the wire and place into the soldered plate eyelet with just a little heat.

Well, my solder attempt gave a zero ohm reading (not the tone I was looking for), so I tried unwrapping the broken wire, which broke again underneath the coil somewhere. It looks like I will be reading the "neck pickup recommendation" threads for a while.

fyi, the CV pickup has a little wax on the top of it (over the polepieces and about halfway down the sides of the coil), my cover came off fairly easily, but I could see where that maneuver wouldn't be so easy a few years down the road if the wax got more solid.