Theano Apostolou believes she has the best job in entertainment right now. As VP of publicity, talent relations, and promotional events for AMC, including Emmy-winning Mad Men, many might agree.

Apostolou got into PR as a “happy accident,” she says, and worked at several agencies before moving to Rainbow Media in 2003, originally to work for music network Fuse.

Apostolou started as VP of media relations for both AMC and WE TV in 2005, but as AMC ...