Not sure if this lady actually got in but NO to be honest. Any sort of arrest record regardless of situation is an automatic DQ among police departments across the board.
The reason is not because of a simple mishap that happened many years ago and you've been straight ever since so let's just brush it under the rug.
It has everything to do your liability. As a sworn officer you're obligated to testify in court. If you have DUI, arrest record in your background, the defense lawyer will pick you apart in front of the court and call your integrity into question. It could cause your department and city to pay out millions in law suit cases against them.
This is why law enforcement stresses the importance of a clean record. They all understand people aren't perfect but the ugly world of law suits, and attorneys is why they can only accept clean slates.