My A/C stopped working and I discovered that a wire has become frayed and broke off, but in my searching I can't figure out what the wire is. In the picture I have highlighted in yellow the part of the wire that is missing. Any idea what it is called so I can order a replacement?

Yellow highlight is the part of the wiring that is gone

 

That's your oil pressure sensor, I would get that repaired or it may trigger your oil pressure light to go on or trigger a code.

 

Interesting. Thanks for the heads up, I never would have suspected that. I'm not getting any error codes and the wire is completely gone that's an old picture and not current.
I guess in addition to trying to diagnose the a/c I have another issue. Thanks again!