The loose wire gets tied to the stepper frame. The tab broke off from the lower, outer bolt on the solenoid bracket:
Gold Strike Ball Count (resized).jpg
You'll probably find the rest of the ring terminal under the bolt head.
/Mark

For future reference, if you look closely at the bracket bolts in your photo, the one on the left uses a locking star washer, the other uses what looks like a normal washer.
Gold Strike Ball Count 2 (resized).jpg
The normal looking one is likely a ring terminal with teeth inside the ring rather than outside the ring.

Also, it looks like your solenoid bracket has cracked in two...

/Mark