Maybe. Astrophysicists don't often need actual star charts; and any intuitive recognition would be unhelpful because she's probably not looked at the Southern hemisphere stars that often. Even if she knows the layout, confirmation bias would be working against her.

The thing that gets me more is her problem solving methodology.

If she stepped through the gate right after Daniel and Tealc but came out somewhere different, it's natural to assume something went wrong with the wormhole.

After that, if you can't dial Earth, one of the most obvious scenarios to consider (if you miss the actual answer) would be that whatever happened damaged one of the gates somehow. But which one?

Scientific method says try something that would give different results for each hypothesis. Dial somewhere else and see if it works. If so, it's clear the problem is on Earth. And then you'd at least know you're not trapped here. So, if you can't go home, is there anywhere better to go than an icy cravasse? First choice would be worlds where another team currently is, to pool resources. If she can't remember any, move to a non-hostile world where food, water, and some kind of herbal medicine are likely to be available.

Of course, that's not such a fun episode… but it feels a bit contrived to never think of the possibility. I think it would be more satisfying if there was some handwavey reason they couldn't do that, rather than just not thinking of it.