How fast is a turbo gasoline “too hot” to shut down?

Hello, I have already read through the numerous threads on similar topics, but not yet found a suitable answer to my question. In general, there seems to be a bit of a spiritual question anyway. Yesterday the following situation: 40km quite normal country road; in front of the parking lot about 20-30 meters quite steep path (I drove in the 2nd gear, quite high load, Turbo was clearly audible) My question: Are so short distances already enough to make the turbo “too hot? I as a layman already think that a turbo should have no problems with it (were not 2h at full load and 20-30 meters are also somehow a joke, but on the other hand, the revolutions in the turbo are also very high?). Anyway, I went for safety then just a round over the parking lot with standing gas / little gas to cool the turbo again. Thank you for your information. PS: is about a new Fiesta with 1.0 Ecoboost, which is why I am always a little paranoid, but also a little paranoid.