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So if she was left for dead by her unit, that implies they moved on (probably a good decision if they were already running from an ambush in the first place).

So she gets left behind for dead, the ambushers also think she's dead (if they even check at all), the firefight moves elsewhere, and later someone comes by and finds she's alive. They take her to a doctor who does what he can for her. We don't really know what the elapsed time is here, and may not ever (I'd assume Lynch's estimation of the time would be shakey at best). Being Iraq, there's some Fedayeen thugs in the area, and they sit around the hospital with their "POW", but they aren't the same bunch that had the others from the convoy. They're not sure what to do with her, and don't even really guard her that closely (doctors tried to take her to US troops but got shot at). The Fedayeen split (or just fade into the woodwork) when it's obvious the US is getting close and the rescue team moves in virtually unopposed.

It's all theory, but it seems to fit...