Thats not being stressed thats just trying to prevent a serious accident in the shortest amount of time!
Especially in this situation, if you got a plane just sittin on the runway, with a plane maybe bout a mile off the runway, you better be yellin and screaming to get that plane sitting there to move it!
If it was truly an issue where an accident was inevitable unless one particular aircraft took immediate action, then I can see pulling out all the stops and using "tone" as posters have mentioned.
But with an aircraft on short final, what's the decision point between just issuing a calm "UAL 56 go around" to the aircraft on final, and screaming at the aircraft on the ground, while still trying to thread the needle? I'm not passing judgment, truly asking as a point of discussion. If it was that close to an inevitable accident (and I'm not saying it was; I'm just following NAplaya16's conjecture), and was that scary a situation, aren't we threading the needle a little closely, and couldn't we relieve that tension with a simple go around clearance, or an "immediate STOP" to another aircraft?
And yes, I totally appreciate that go arounds cost everyone money and time and congestion, but I'm speculating on a situation that was close enough to an accident that it whipped a normally unflappable controller into a frenzy. If it wasn't that close to an accident, and was only an "irritation" then why the high-tension yelling?