Loneliness is a feeling of a person without a purpose. When we are in a healthy relationship our spouse's are our purpose. But when they decide to leave they take part of our purpose (and what LBS believe at the moment is their only purpose). Well, humans need purpose, replace your WW with another purpose. Volunteer, join a hiking group. Live your life.
IMO, you aren't truly talking about loneliness you are a asking about intimacy and sex. That is what you are truly missing. Hey, I know those are hard to replace. Be patient. And I want say which site I used for those hard times.
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.