She's deep in the fog. Don't believe a word she says until there's not another man in the picture. You need to focus on you and be the best man you can be. Please research this and other sites for how to handle an active affair. In the whole it has to do with being the best you, ignoring the antics of the addict-like tendencies of your partner and doing the best you can for YOU.
You're right in the no relationship talks. Also, if you were just dating how much time would you give a person who has stated that they don't want to be in a dedicated relationship with you.
Think about your personal boundaries and what you accept and don't. You don't have to accept mistreatment and disrespect of this level. Be the best man you can be.