As a tutor you are presenting yourself as a professional person.
Therefore you ought to dress accordingly
Several years ago I had a tutor come to the house to do an hour’s tutoring with my son for an Economics exam he had coming up.
The tutor arrived with his shirt undone to roughly halfway down his chest and a chunky medallion. The medallion sat on top a thick mat of chest hair.
I don’t mean to offend hairy chested men; I just feel that having his shirt revealing so much of his chest was inappropriate. A top button undone is more than acceptable but if a lady dressed with that amount of chest showing, especially when working with children would have created quite a stir….