Texas has "no" minimum bow poundage for compound bows, longbows or recurves. The only minimum bow poundage is for crossbows and that is 125#. This can be confirmed by TPWD's archery rules.
http://www.tpwd.state.tx.us/publicat...al/hunt/means/
I've been bowhunting deer, small feral hogs, javelina with light poundage recurve bows for the last 47 years so I'm no rookie. I wait for a broadside shot at distances around 15 yards or less where my heavy GPP (grains per pound) aluminum arrow can take out both lungs. No animal goes very far without lungs. If I don't get both criteria, I let the animal walk.