[Publius]

If a state legislature were to officially censure a US senator, the senator would merely say, "I was elected by the people of this state, not the legislature. The members of the legislature can go pound sand."

The only rebuke that can be delivered to a federal officer is to defeat him at election time.

[Right-wing Librarian]

Hmmm.....

How about a grassroots petition, signed by Texans, delivered to the State Legislature? The petition could be a People’s Request to the State Legislature to officially censure Globalist Cruz?

It would carry no weight, save the P.R. it would bring to the extent of disgust felt for him by the People...

Then again, maybe it’s too much of a stretch....You are probably right, nothing to do but wait him out, I guess.