Would you mention this to the centre manager

A few weeks ago I was goving a parent feedback. The student was a new one to me and I was telling her that her basics needs to be worked on and the mum has a go at me. The next day when I told her she basically spoke over me to the other teachers. He obviously disrespected me and was not worth the bother so I asked to do a switches with her usual teacher so he took her again.

Today I was giving feedback to some other students mainly positive and she told him I'm glad it's you again and not her. I didn't hear it myself but I think it's out of line.

Would you report this to the centre manager?