Within egalitarian circles this is a very easy question to answer. Egalitarians generally believe that men and women are equal in all respects and that gender differences are largely relativized by the grace of the Gospel. Therefore, whatever men do in the church, woman may and should do likewise.
Case closed.
Complementarians, on the other hand, generally believe that men and women are equal with respect to dignity and worth and equal with respect to salvation graces, but different with respect to responsibility and role. Therefore, for complementarians, the answer to the question is more complicated. Many would argue that it depends on what you mean by the word “deacon”.