First, who makes the estimates and schedule should know better and do not trust what they can't control,meaning you cannot set tight schedules based on other teams.
If they don't answer you escalade, talk to your and their lead asking for another person.
Answer with the same coin, if that person is a jerk he had it coming.
For further actions, you may consider blocking this person and/or reporting abuse
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First, who makes the estimates and schedule should know better and do not trust what they can't control,meaning you cannot set tight schedules based on other teams.
If they don't answer you escalade, talk to your and their lead asking for another person.
Answer with the same coin, if that person is a jerk he had it coming.