It looks like a red-tipped photinia to me too. Depends on how close to your shed as they get pretty wide. Cardinals love them, probably because of the red. They are on the invasive list, so if you ever want to get your Best of Texas Native Habitat Certificate you might not want to keep it.

I agree.

Mommyfox,

Did you check your first post on this shrub? We guessed
photinia and I feel pretty confident that's what it is.

I just cut one down, not because I didn't like it, but because the previous owner who planted it and several other trees had no concept of how their ultimate size and location would impact other trees or the house. I had a forest of trees right up on the house! And one was a photinia which is extremely hardy, fast growing, prolific, with pretty rusty red leaves. It grew to about 12 feet. So if you want to keep it in that location you might want to move your shed a few feet over to the right now, before it gets any bigger. Or you can trim it back every couple of years to keep it more of a shrub. I'll bet you've seen them around, used as privacy hedges. The roots tend to run very deep and hang on for dear life, so it might be difficult to move even at this stage.

Ah; I think it might have to go, then. The shed is a permanent structure with its own foundation. Anybody want it? XD