But it doesn’t say that she was forced to work sick. It says that she used bad judgment because she had already flown across the country. My guess is the flight was going to get her back toward home.
She was on her way to work before the flight from the west coast (not uncommon -- probably where she lived). Nobody held her at gunpoint, but she flew sick partly because she didn't want to pay for a hotel room (a big expense on her salary) according to her own statements beforehand.
She flew from Seattle to Memphis to Newark on a cargo carrier in the middle of the previous night. Then she got a little rest before showing up, then they were delayed for weather before the flight. It happens.
There are about 24 hours of video testimony on the Colgan Air crash investigation available at NTSB.gov. A real eye-opener.