To be fair, she graduated from medical school, but apparently has not completed internship/residency. It's like having someone finish paramedic school and not take the paramedic exam deciding instead to work as a basic. How would you feel if your partner decided to go to school and not use the education?
I'll admit that I haven't seen the pilot yet, but I didn't think that this episode was terrible. Not necessarily good, but not Gigli. If it survives, it would be interesting to see how it develops. After all, Battlestar Galactica's first few episodes was nothing short of terrible (seriously, go back and watch 1.01 "33" and 1.02 "Water" and tell me those were good episodes. Alternatively, go back and watch the first few episodes of Heroes.).
There were a few things that I felt Trauma 1.02 hit on the head. The 'eating of the young' for new grads in EMS. Marriage troubles. Dangers of the job (and what I'm deeming the world's worst example of stagging for police). ER antics. EMTs hitting on nurses.
Of course there were also numerous medical mistakes and stupidity.