For your information: shulchan aruch orahc chaim ,siman 47, se’if 14:”Noshim mevorchot birchas hatorah” -women have to make the brocho on the torah” says the biur halocho (in the name of the mogen avrohom); because they have to learn the halochos that pertain to them.
The fact that women should learn their halochos means that- to some extent- they learn torah shebaal peh.
The Shulchan aruch in joreh deah repeats the rambam’s wording. However, a number of Poskim (see the drisha,as sam2 pointed out) allow women to learn. there is no inherent issur-just an understadning that their mental ability does not empower them.(I am not entering into a feminist versus anti-feminsit debate)