Interesting question! i don't think there's an official policy but I may be wrong and am happy to be corrected on this point!
Our patron is the Church Society Trust and this is from their website:
In 1992 the Church of England General Synod voted to allow women to be ordained as ‘Priests’ in the Church of England. The most numerous opposition to this came from anglo-catholics but many evangelicals also rejected the change. Church Society was amongst those upholding the traditional line and the Society took legal action to block the legislation as being beyond the powers of the General Synod.
These pages seek to explain why the Society continues to maintain that women should not be presbyters or priests in the Church of God.
So I think it is unlikely a woman will be appointed at St Andrew's...