The Mishnah discusses occupations, communal needs, and the value of professional competence, including the importance of teaching one's child a trade. It is relevant to work and vocation, though it does not specifically discuss women physicians.
מַתְנִי׳ כֹּל שֶׁעֲסָקָיו עִם הַנָּשִׁים לֹא יִתְיַחֵד עִם הַנָּשִׁים, וְלֹא יְלַמֵּד אָדָם אֶת בְּנוֹ אוּמָּנוּת הַנָּשִׁים. רַבִּי מֵאִיר אוֹמֵר: לְעוֹלָם יְלַמֵּד אָדָם אֶת בְּנוֹ אוּמָּנוּת נְקִיָּה וְקַלָּה, וְיִתְפַּלֵּל לְמִי שֶׁהָעוֹשֶׁר וְהַנְּכָסִים שֶׁלּוֹ. שֶׁאֵין אוּמָּנוּת שֶׁאֵין בָּהּ עֲנִיּוּת וַעֲשִׁירוּת, שֶׁלֹּא עֲנִיּוּת מִן הָאוּמָּנוּת, וְלֹא עֲשִׁירוּת מִן הָאוּמָּנוּת, אֶלָּא הַכֹּל לְפִי זְכוּתוֹ. גְּמָ׳ תָּנוּ רַבָּנַן: כׇּל שֶׁעֲסָקָיו עִם הַנָּשִׁים – סוֹרוֹ רַע, כְּגוֹן הַצּוֹרְפִים, וְהַסָּרֵיקִים, וְהַנָּקוֹרוֹת, וְהָרוֹכְלִין, וְהַגַּרְדִּיִּים, וְהַסַּפָּרִים וְהַכּוֹבְסִים, וְהַגָּרָע, וְהַבַּלָּן, וְהַבּוּרְסְקִי – אֵין מַעֲמִידִים מֵהֶם לֹא מֶלֶךְ וְלֹא כֹּהֵן גָּדוֹל. מַאי טַעְמָא? לָא מִשּׁוּם דִּפְסִילִי, אֶלָּא מִשּׁוּם דְּזִיל אוּמָּנוּתַיְהוּ.
MISHNA: Anyone who has professional dealings primarily with women may not be secluded with women. There is more of a concern that such a man might sin due to his familiarity with the women. And a person may not teach his son a trade that necessitates frequent interaction with women, for the same reason. With regard to teaching one’s son a trade, Rabbi Meir says: A person should always teach his son a clean and easy trade and pray for success to the One to Whom wealth and property belong, as ultimately there is no trade that does not include both poverty and wealth, since a person can become rich from any profession. Poverty does not come from a particular trade, nor does wealth come from a particular trade, but rather, all is in accordance with a person’s merit. Therefore, one should choose a clean and easy trade, and pray to God for success. GEMARA: The Sages taught: With regard to anyone who has professional dealings primarily with women, his practice and company are bad, and it is best to keep away from him. This category includes, for example, the smiths, and the carders, and the fixers of hand mills of women, and the peddlers of jewelry and perfume to women, and the weavers [gardiyyim], and the barbers, and the launderers, and the bloodletter, and the bathhouse attendant [ballan], and the tanner [burseki]. One may not appoint from among those who have these professions neither a king nor a High Priest. What is the reason for this? It is not because they are disqualified, since there is nothing wrong with these jobs, but because their trades are demeaning, and they would not be respected when appointed to a position of authority.