Personally, I would think that the meat of the LOR will matter more than what “college” is in the title. It’s obviously an oversight on the part of the recommender, and I would think it happens every now and again. And it’s out of your control as the letter is sent directly to the institution. I would think they may get a chuckle out of it, but that its not a big deal. But that’s me. Again, hopefully the substance of the letter is fantasic.
For future applicants, make sure and make it very clear to your selected recommenders. Not saying OP didn’t. Because beyond that, not really much in your control if LOR’s are sent directly to the institutions. Which they should be. It’s the writer mistake. Not yours.