I'll concur with GlueBall - in fact if there's any indication of a "weak sister" engine, this should be a briefing item.
My background tells me that EGT (ITT...) overtemp should not be addressed until first thrust reduction (unless accompanied by fire warning, of course). After all, the OEM establishes the temp limit based on long-term engine health, and NOT as an immediate safety-critical issue.
However, today - considering that most aircraft are overpowered - there's nothing lost by retarding EGT back within limits, PROVIDED that other duties aren't neglected.