On March 19, the Texas Supreme Court issued an Order that No trial, hearing, or other proceeding, regarding residential evictions, may be conducted, and all deadlines are tolled, until after April 19, 2020. There are exceptions to the order. Commercial evictions are not affected by the March 19th Eviction Order. Also the commission of criminal acts by the lessee are an exception.

This has been a PSA by Ol' Doc.

https://www.txcourts.gov/media/1446203/209045.pdf