I'm confused about what you are saying, because the word "undermined" was introduced by you. The article suggests saying
> ‘When you said, “I’m not happy with your work,” to me in front of the team, I felt embarrassed because it didn’t meet my need for trust and recognition. Please, could we set up a weekly one-on-one session to share feedback in private?’
Are you suggesting that the other party would think "You're overreacting. People know you're the boss. Nothing is being undermined"? If so it sounds like it would be an evaluation on their part, and I guess it would be dealt with as such.
> ‘When you said, “I’m not happy with your work,” to me in front of the team, I felt embarrassed because it didn’t meet my need for trust and recognition. Please, could we set up a weekly one-on-one session to share feedback in private?’
Are you suggesting that the other party would think "You're overreacting. People know you're the boss. Nothing is being undermined"? If so it sounds like it would be an evaluation on their part, and I guess it would be dealt with as such.