What exactly do you mean your not against her needs? Are you ok with her having other intimate partners. Is she ok with you having the same?
Have you done any couples counseling...since the loss of intimacy.
Do the 2 of you go on weekly dates?
Has your wife done any reading here on what to expect?
My gut feeling is if you have 1) intimacy issues to start with... and 2) reluctant spouse the odd of this working out smoothly are really low.
Is she home alone a lot...with large amounts of free time to invest in 1-2 other relationships? Time becomes a big factor.
I suggest she and you read as many stories here as you can to get an idea how things can go.....once started it's really hard to unring the bell.