The fact that the solider's were going into an environment where one of their fellow solider's was being held without having any idea as to whether or not there were people guarding her probably means they are going to go in with guns drawn, knocking down doors, but for their own safety. Nine of the solider's in her company had already been killed, it's not as if you always know what intelligence to trust and what not to trust(how many solider's were killed from a fake surrender, or car bomb?). For their own safety that's the way it should have been done, and that's the way it was done.
It's not as if they are just going to walk into this hospital and say we're here to pick up Jessica. That's completely absurd. As far as them shooting at an ambulance who knows what actually happened there, did the driver speak english, were vehicles only allowed so close to the checkpoint, not to mention you could probably hide a bomb much easier in an ambulance as opposed to some small car.
All because there may not have been some shootout doesn't make the mission any less dangerous for the soldier's going in. Sure it may not have been quite as glamorous as portrayed but to act like it was just a walk in the park is ridiculous.