You may want to research emotional intelligence. There's lots of methods you can try but they are not quick to explain. Some examples.
Ask to explain, clarify. Someone made a derogatory comment - call it out. E.g. What do you mean by X? Are you implying that Y?
Dont get angry. Provide clear incentive to act. Increase the cost of failure. Can be as simple as CC relevant person in the email. State clearly what are the expected outcomes. Highlight the risk. Make sure others know what's going on.
Question real reason for the criticism. Is it really something in your control? Ask what they would do in such scenario. Dig into details. Point out gaps
Above all stay calm. The more the other person gets angry and confrontational while you stay calm and professional the better you look in eyes of everyone else. It makes it obvious to others who is the big baby and who can the handle pressure.
You may want to research emotional intelligence. There's lots of methods you can try but they are not quick to explain. Some examples.
Above all stay calm. The more the other person gets angry and confrontational while you stay calm and professional the better you look in eyes of everyone else. It makes it obvious to others who is the big baby and who can the handle pressure.