Where did I mention “feelings”?
I too live according to halacha. But I don’t understand your source– it would seem to prohibit any sort of education from a non-Jewish teacher, yet many, many frum families send their children to some sort of college or graduate program not run by Jews. Even day schools frequently employ non-Jewish teachers for secular subjects. (Not to mention that I am sure a posek would allow the child care for the sake of parnassah, if a Jewish provider were unavailable or would charge significantly more money).
I will ask my husband about it when he gets home.