Retired manager, been in my share of tense meetings.

I appreciate it when someone recognizes that they're struggling with conflict and emotion, and lets me know that they know this. It's better to acknowledge the emotion and put it on the table as its own valid topic of discussion, than to tiptoe around it or try the "I'm sensing that you're dealing with some internal conflict" approach that risks embarrassing them or worsening it.

The choice is whether to acknowledge the emotion, not whether to have it.