Outlands eh? That's cool...you can get anywhere from there...
I believe, given her methodical approach, she's likely to want to learn about the various planes and their most common inhabitants before actually venturing TO them. She could do that either by traveling to each Gate Town and nosing around, or if there was some central place of learning, perhaps she'd head there.
Alternatively, Sigil might be the place to go, since there's a general "truce" in effect there (so no problems with Blood War/Hells vs Heavens and so on) and interfering Powers aren't allowed. Not a safe place, but perhaps safer than the alternative, and more likely to yield results. Plus, it would provide a venue to interact with planar beings in a neutral ground, gaining firsthand experience without necessarily risking combat.
Yes...yes that makes sense. I could see her brain working that way.
Of course, she has a lot to learn about Sigil and the planes...but that's half the fun.
So Mei-Ying can start off, a bit lost and confused in Sigil, looking for a centralized repository of knowledge and perhaps being a bit startled to find that there's not one. It's not at all like nice, orderly Arcadia.