If a provider is really into being dominated, how possible is it that she does not want to CIM or swallow?

Just because a woman likes being dominated, doesn't mean she gives up the right to say no to things she isn't comfortable with doing.  All people have limits; it's healthy & self-protective to have them.  Being a sub means you get to decide what you allow to happen.  Activities should be negotiated ahead of time.  In a BDSM context, the things person would never do/allow are called "hard limits". See the link for more info:  http://www.submissiveguide.com/2010/11/hard-and-soft-limits-by-nansl