Water pump go about the fixing it?

Are you able to move it by hand with the engine off? (wiggle it)? If so, first watch to see where it's moving. It could be a loose fan or clutch. If the entire shaft on the pump moves, it's likely that the pump bearing is bad. Is there any noise associated with it when the engine is running?

Let me know and I can direct you on how to repair it. Also, here is a link you may find helpful. See if what you experience mirrors what is discussed in the link.

https://www.2carpros.com/articles/symptoms-of-a-bad-water-pump

Joe

Is it possible to get a video of how this is moving? There could be a couple things with this so does it only wobble when the engine is on or can you move it with the engine off as well?

I attached a picture. Is the entire shaft moving, where I am pointing?

Here is a general guide that will get us started:

https://www.2carpros.com/articles/symptoms-of-a-bad-water-pump