Meaning of “may” - Learner’s Dictionary

may

modal verb us uk /meɪ/
High doses of the drug may induce depression.The operation may leave a scar.Police fear that the couple may have drowned.Some scenes are violent and may disturb younger viewers.This article may be of interest to you.
POSSIBLE

B1 used to talk about what is possibly true or will possibly happen:

There may be other problems that we don't know about.
I think I may have a cold.
PERMISSION formal

B1 used to ask or give permission:

May I be excused, please?
You may begin.
may (well) ... but

used to show that the first thing you say is not important when compared to another fact:

It may be cheap but it's not very good.

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