Kasha,
Rav Moshe z’tz’l was VERY learned in secular subjects even though he never attended college. So were Rabbi Shlomo Zalman Auerbach z’tz’l and Rabbi Eliezer Waldenberg z’tz’l.
Rav Soloveitchik earned a Ph.D. in German Philosophy at the University of Berlin. His wife, son, both daughters, and both sons-in-law all earned doctorates. Among his fellow students were Rav Hutner z’tz’l and the Lubavicher Rebbe z’tz’l. The Rebbe later earned the equivalent of a B.S. in electrical engineering from a well respected engineering school in Paris.
Rav Herzog z’tz’l earned a Ph.D. in Chemistry from the University of London. His doctoral dissertation identified the source of the techelet dye.
Rav Hildesheimer earned a doctorate at the University of Halle-Wittenberg; his dissertation was entitled, “On the right kind of interpretation of the Bible”.
Rav Hirsch attended the University at Bonn.
Sforno earned a medical degree at the University of Rome.
Rambam is considered an alumnus by the Al-Karaouine University in Fez, Morocco.
I could list many more, but you get the point. The list of gedolim who attended university is indeed quite long. A ben Torah who desires university education can rest assured that he is following in the paths of giants.