What is this?
 

2007 S40 2.4L Non Turbo

Had a no start issue (Battery and Alternator are not the issue) and when removing the starter I found this wire was not attached. I have no clue what it is and haven't seen a connector like this before (It appears to be broken off). Additionally the wire in the third picture is possibly coming from that connector and going into the harness for the starter. Is there a chance this is the reason the vehicle wouldn't start?
https://cimg0.ibsrv.net/gimg/volvofo...150a0db6ea.jpg
https://cimg7.ibsrv.net/gimg/volvofo...99aed11944.jpg
https://cimg8.ibsrv.net/gimg/volvofo...875d8288b4.jpg

A temperature sensor


https://www.swedespeed.com/threads/w...ousing.589559/