Having the gym as a common interest is a good thing and OK to talk about. Just keep it friendly and not anything to do about R. Do not let your expectations creep into the convo.
If she's bringing up your match.com profile, then she's thinking about it... and subsequently you. Good that you did not engage that convo.
She could be telling you the truth that it doesn't bother her. But why would she feel she needs to give you approval? That's a rhetorical question. She doesn't need to give you her approval. So there's likely something underneath that. It could be that she's trying to convince herself... or maybe she's trying to bait you... or... well, not worth trying to figure out. Just note that she brought it up and let it go.
When a LBS has a WAS/MLCer that does not spew, it is good form for the LBS to go the "friends" route. Even though it's not what the LBS wants, it is a great foundation towards possibly rebuilding the R.
If she's texting you to reminisce about the past, it is OK to listen and validate. Stay away from being the one to bring something up. It's a mine field and you could possible bring up something that YOU think is good, yet triggers a negative memory for her.
So it is good that she wants to be friends and that you are open to and working on that. It is also good that she says she will always love you.
If your posts are an accurate indication of your your interactions are going, which I'm sure they are, then keep doing what you are doing.
It is certainly OK to meet her for drinks, just be sure you are not TOO available. Understand that in the context of your sitch, being mysterious or not accepting every invitation is not necessary. She's in pursuit mode if she's initiating these exchanges and dates. Continue to let her lead.
IF she were to appear to be getting cool, then pull back just a bit and don't be quite as available, but still be pleasant and happy.
Be careful about drinks. It can lead to loose lips and we know what that does to ships.
You seem to be doing really great. What you are doing is working. Keep doing it for at least another couple weeks and then if you'd like, you can possible start to add some new stuff to the mix.
