The House Finch is very like the Purple Finch, and their ranges can overlap here.
But because of the rarity of the Purple Finch, I thought that this was probably not that bird.

House Finches are "Uncommon to locally common resident throughout most of the state" (Lockwood & Freeman, p. 217),

Purple Finches are "Uncommon to rare and irregular winter visitor to the northeastern portion of the state" (Lockwood & Freeman, p. 216).

But more than one member of the TX-ORNITHOLOGY listserv has said that it is most likely a Purple Finch.
It does look purple to me.

This is another view.

November 7, 2020.

This is a female.

Photo taken with a Nikon D90 using a Nikon 400mm, f/5.6 lens.

February 12, 2011.