Meaning of “sway” - Learner’s Dictionary

sway

verb uk us /sweɪ/
MOVE [ I ]

to move slowly from one side to the other:

The trees swayed gently in the wind.
PERSUADE [ T ]

to persuade someone to change their opinion or decision:

I think I was swayed by what James said.

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