Well, given that Strange was born into his high position in society rather than rising to it in any way, it really shouldn't be too hard to have a female version of him in the same situation... In terms of his position as a magician, it all depends (as other anons say) on whether or not Norrell would accept a female student, and then whether or not Wellington would accept a female magician coming into battle.

Both of these situations are unlikely but not impossible- Norrell may well be willing to overlook his sexism if his loneliness at being the only practical magician were even greater, particularly if fem!Strange were to publicly perform some magic so Norrell never gets the chance to dismiss her... And Wellington would probably accept fem!Strange if the war situation was dire enough and Norrell's brand of magic had been shown to be basically useless in war. There'd need to be a bit more explanation of how things ended up the way they did, but it shouldn't be too hard.