Outdoor TV question....

Preface: I know the answer to the question already, but here goes anyway....

So, This is a project I've wanted to do for a little while. We have (had) an 10 y/o-ish 32" 720p TV that I wanted to mount outside under out covered but not walled back patio.

I pulled 14/2 wire (15 amp circuit) from the existing GFIC outlet, ran it in some conduit and installed a couple of new outlets (I needed one for the pellet grill which was the actual driver for the project.) I rewired the GFCI as a stand alone one, as the GFCI outlet for that circuit was run off one inside in a fairly distant hallway (Why?? ). I installed the TV outlet 6-7 feet above the one for the grill (which is a couple of feet off the concrete.)

While I was all done and installing the back plate on the old TV, I knocked it over and cracked the screen. Of course. So rather than pay the full stupid tax, I popped in the local thrift store (it's on the way to best buy) and found a working 42" 720p set for $15. I figured why not, it's $15 and going outside anyway. FWIW I'm running it off a firestick. It's basically to listen to music outside, watch the occasional sporting event while grilling and so the kids neighborhood kids can watch movies from time to time.

So finally my question. Would you folks get a "water proof/resistant" TV cover it (mainly for the winter when we get most of our precipitation)? It's outside about 15' latterly under our back porch about 1 foot off the ceiling 10+'. It would be really difficult for rain water to get in there. Snow on a windy day, might be a different story. And I only paid $15 for it. My only "mistake" is I should have put in an on/off switch for the TV outlet (which is in a waterproof box) as I cannot easily unplug it without a ladder/step stool.