I think this is excellent progress. "slow long process" - you're right on the money. Be patient. Look forward to your relationship improving. The important thing is that you both want each to be happy and you're both willing to work through therapy to reach a situation that works for everyone. The rest is just having patience and faith and moving forward.
The other thing I would advise you to do is devote attention to your romantic life. Make sure that you spend time with her as the man she loves. Take her out. Buy her something now and then if you can. Do the little things you know she likes. Therapy and the compromise it will demand are going to put a strain on your relationship. That's a negative dynamic. Make sure you have a good healthy positive dynamic to balance it.
Good luck!