Yes, that's why my students choose me....
I wouldn't choose too good-looking teachers. Their attractiveness could be too intimidating, lol...
Jokes aside, I prefer teachers who speak well, with a good accent.
The ones who can speak reasonably well and reasonably fluently in my native language.
Also who speak in the language I am learning in a manner where I can hear the individual words they speak,
even if I do not know the meaning of the words they speak.