If this was a story, she wouldn't be as good at psionics as the natives despite her initial enthusiasm; and the homily would be that your extraneous unnatural powers don't define you, how well you think determines whether you win or lose.
But those, on reflection, are all stories written for the benefit of readers who are never going to get actual psychic powers in real life.
In this generalized story, or generalized reality, whichever it is?
She is totally going to see whether she can be the Even More Powerful Psion and blow away all the natives using her knowledge of linear algebra, which will turn out to be super useful for psionics. Like, she'll be fine if she can't, but she's sure going to try.
School mode on. Psionic Mistress Thelim is go.
:I accept you as my teacher. Let's do this.:
:Wait. I mean, I, Thelim, accept you as my teacher. Because my name is Thelim. Have I actually forgotten to say that this whole time? Anyway, I'm Thelim and I accept you as my teacher.:
She's going to be so much smoother the next time she dies and finds herself in another world.