"You're wrong to feel this way" is a ridiculous notion, one I had to personally unlearn. Emotions aren't right or wrong and you can't control them. Disregarding someone's emotions as wrong has exactly one result, resentment, which leads to heightened conflict.

You can acknowledge that someone's emotions are valid while disagreeing with them on the content. Here's a template: "It sounds like when I said x you felt y, that wasn't my intention, my intention was z."