Erudite could be used to describe this woman.
An example of erudite is a professor of literature.
Origin of eruditeMiddle English erudit from Classical Latin eruditus, past participle of erudire, to instruct, literally , free from roughness from e-, out + rudis, rude
Origin of eruditeMiddle English erudit from Latin ērudītus past participle of ērudīre to instruct ē-, ex- ex- rudis rough, untaught ; see rude .
(comparative more erudite, superlative most erudite)
From Latin ērudītus, participle of ērudiō (“educate, train”), from e- (“out of”) + rudis (“rude, unskilled”).