We check this website, now uthscsa.edu is up and dont blocked for our system and other users of the Internet.
So, answer to question: Is uthscsa Down Right Now? - NO! uthscsa is up!
If you have problem with access to site uthscsa, and domain uthscsa.edu is not avalible.
Clear browser cache and/or try other web browser
(Chrome, Firefox or Safari).