I don't think you are truly detached. You are holding your wife actions against her. You are going to have to let that go in order for you to heal. Would you tell another person that tells you goodbye, "goodbye". Would you provide a response?
She want deceive you if you just tell her goodbye. I understand you don't want to be friends, but giving salutations, won't make you friends. You can have a cordial relationship, and also respect yourself.
She stills has some control over you as long as, you keep holding this vendetta against her. FREE YOURSELF, by allowing yourself to treat her like a normal person.
M:37 W:37 T:11 M:10 S17, S13, S10, S4 BD:06/28/17 OM confirmed 07/20/17 Recon the M 10/29/17 Working hard:2gether
Onward and forward
This process is not a sprint it's a marathon! Patience, Patience, Patience.
