I'm not sure exactly what you are looking at. However, the grey wire should to run to the S terminal on the starter. Normally, there is a connector at the end of the wire that you place over the terminal and then a nut holds it on. At the end of the wire that isn't connected, what is there?
I attached a pic of the starter where I am talking about. One terminal is much larger in diameter than the other. The larger one is a heavier cable straight from the battery. The other wire, the grey one, will connect to the other smaller diameter terminal on the battery. If I recall, there may be a plastic shield over the terminals. If you vehicle still has it, remove it to access the terminals.
If possible, can you take a pic of what you are seeing. It will help me better guide you.
Also, and this is important, do not work on the starter without disconnecting the battery first. Make sure to remove the negative battery terminal before starting.
Let me know.
Joe
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Sunday, February 23rd, 2020 AT 7:31 PM