Snyder76- I have had both white and pink dogwood. They're both so beautiful! In fact, my father in law gave us when we I got married........no pressure to keep that alive.....Lol.
For some reason, the white are a lot more hearty. With pink it's more care, and may be a little challenging, but worth it.
While I do not live in TX, I can say for sure that dogwoods do not like mulch, and it looks like there is some in the picture. Just move the mulch away, leave at least an 18" circle with no mulch at the base, but shape it to form a dish around the tree so the water would funnel towards the trunk. I'm wondering if that may resolve your problem with the tree correcting on its own.