According to the Book:
If you’re a woman, you can expect prestigious suitors
and far more say in your future than non-Dog women
have. No suitor can demand that you marry him, for
instance, where most women — even if nobody does
demand them, there’s always somebody who could. The
Prophets and Ancients of the Faith, the seventy old men,
when they want another wife, they always court and
propose to just-finished Dogs, for instance, and you can
turn them down if you want to. Which is a big deal,
When you do marry, you can expect your husband’s
respect, and if you marry an office-holder, you can expect
to participate in the administration of his office. You can
expect to be regarded as a spiritual advisor and, if your
inclinations run that way, a theologian in your own right.
If your husband treats you badly, you can expect the Faith
to take your complaints seriously.
In my opinion it isn`t allowed normally and if an ex-Dog woman wants to do anything connected with Faith, she should marry a Steward or get a special permission.