Very similar to what a male theologian can do.
Yes. There have been many great women who are a theologian.
The first female professor was Elena Lucrezia Cornaro Piscopia, an Italian philosopher and theologian who was awarded a doctorate in theology from the University of Padua in 1678, becoming the first woman to receive a university degree.
Symeon the New Theologian was born in 949.
James White - theologian - was born in 1962.
Edmund O'Reilly - theologian - died in 1878.
Edmund O'Reilly - theologian - was born in 1811.
John Mill - theologian - died in 1707.
John Fawcett - theologian - died in 1817.
Anthony Anderson - theologian - died in 1593.
Ludwig Müller - theologian - died in 1945.
Ludwig Müller - theologian - was born in 1883.
Andrew Jukes - theologian - was born in 1815.