According to reports Mrs May is hoping females will be placed into three vacant high profile roles at the Church of England, the Metropolitan Police and the BBC.
The Times newspaper claims that whilst the prime minister's role in these appointment is largely symbolic she will keep a close eye as she attempts to fix the gender imbalance in leadership.
Christina Rees, former chair of the group Women And The Church, told Premier's News Hour the PM doesn't have much influence: "Even though she may want a woman, the crown nominations committee is the body, so it's really up to a group of 14 people.
"Theresa May does have the ability to ok it, or say, no thanks, come back with another name."
Rees said there were a number of woman who could take over from Rt Revd Richard Chartres who leaves the role in February.
The Bishop of Gloucester Rachel Treweek and Bishop of Newcastle Christine Hardman were both mentioned.
"People have been talking about Rose Hudson-Wilkin who is currently the speakers chaplain," she said, "It looks like a huge step but if anyone is able to do it with vast experience and very robust character it certainly is Rose Hudson-Wilkin".
Bishop Richard has faced criticism for being anti-women priests over his refusal to ordain women into the priesthood. When taking on the role he chose not to ordain men or women into the priesthood to make sure the diocese was united.
It is a criticism he refutes, claiming he is for women priests.
It's claimed Theresa May wants a woman to be the new commissioner of London's Metropolitan Police and a female to take a new role on the board of the BBC.
Premier's Aaron James speaking to Christina Rees:
