Dating isn't detaching. As long as either of you (in this case you) are hoping to restore the M, dating is bringing an additional person into the R. It's not fair to any of you. One might even say it's an A.
It's not a bad idea to let her have questions in her mind. Don't always be where she expects you to be, leave the house looking like you could be going on a date (take yourself out), don't always tell her exactly what you are doing. But, in my opinion, don't involve another person.
Detaching means that you don't let your emotions get yanked around by what she is doing, or not doing. Dating may be a distraction, but it isn't detachment.
