Meaning of “discretion” - Learner’s Dictionary

discretion

noun [ U ] uk us /dɪˈskreʃən/
CARE

care not to cause embarrassment or attract too much attention, especially by keeping something secret:

You can rely on my discretion.
→ Opposite indiscretion (indiscreet)
RIGHT

the right to decide something:

Students can be expelled at the discretion of the head teacher (= if the head teacher decides it).

(Definition of “discretion” from the Cambridge Learner’s Dictionary © Cambridge University Press)