die Hitze
heat
A state of very high temperature, especially in relation to the weather or fire.
Bei dieser Hitze im Sommer gehe ich am liebsten ins Schwimmbad.
In this summer heat, I prefer going to the swimming pool.

heat
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heat
A state of very high temperature, especially in relation to the weather or fire.
Bei dieser Hitze im Sommer gehe ich am liebsten ins Schwimmbad.
In this summer heat, I prefer going to the swimming pool.

'Die Hitze' (the heat) is the noun related to the adjective 'heiß' (hot). When something is very hot, people speak of 'großer Hitze' (great heat).
Die Suppe ist noch zu heiß, lass sie abkühlen.
The soup is still too hot; let it cool down.
When 'Hitze' (heat) describes the weather, it is usually used as an uncountable noun. People speak of 'großer Hitze' (great heat) or 'der Hitze' (the heat), but normally not of 'einer Hitze' (a heat).
Die extreme Hitze macht allen zu schaffen.
The extreme heat is making life difficult for everyone.
Common adjectives used with 'Hitze' (heat) in connection with the weather are 'große' (great), 'extreme' (extreme), 'drückende' (oppressive), or 'unerträgliche' (unbearable) heat.
Morgen erwartet uns drückende Hitze mit hoher Luftfeuchtigkeit.
Tomorrow we can expect oppressive heat with high humidity.
The expression 'in der Hitze des Gefechts' (in the heat of the battle/moment) is very common. It describes a situation full of stress or excitement in which someone acts or speaks without thinking.
Er hat sich entschuldigt; das war nur in der Hitze des Gefechts gesagt.
He apologized; that was only said in the heat of the moment.
The meaning 'readiness to mate' is used exclusively in connection with animals. The context always makes clear what is meant here.
Der Tierarzt sagte, die Hündin sei in der Hitze.
The vet said the female dog was in heat.
temperature
'die Temperatur' and 'die Hitze' both have to do with warmth. 'die Temperatur' is a measurement, for example 25 degrees or 38 degrees. It can be low, normal, or high. 'die Hitze', on the other hand, means a state of very high temperature, often in the weather, in a room, or near a fire. The words can be confused because a high temperature is often experienced as heat. If you mean a number or a measured value, 'Temperatur' fits. If you mean strong, unpleasant warmth, 'Hitze' fits.

Wegen der Hitze bleiben die Schülerinnen heute in der Pause im Gebäude.
Because of the heat, the schoolgirls are staying inside the building during the break today.
Mein Nachbar misst am Wochenende die Temperatur im Kinderzimmer.
My neighbor measures the temperature in the children's room at the weekend.