Would a Traditional Catholic be fine at CUA?

I’m a very Traditional Catholic ( member of the SSPX) and I’m considering going to CUA for Classics. Would a Trad Catholic be fine at CUA? I’m not asking “Will people agree with me on everything?” I don’t care if people disagree with me, and am always open to a polite, scholarly discussion. I just don’t want to be blacklisted for being Traditional.