Giving someone space when they are having an affair is NOT reccomended.
I don't reccomend pursuing H either.
My advice is pretty consistent on this forum
Expose to any and all friends and family who will support you and apply PRESSURE on H to END his AFFAIR.
EXPOSE to everyone you think may support you.
While THEY are working on your H, you can sit back and get your bearings, this is a lot to deal with I know.... but your family can be much more effective and objective than you, so ask tehm to support you and apply pressure.