WAW hasn't walked yet, but emotionally dead

[mako]

OK, as noted above I asked W to go hiking this weekend. She declined, and in response I wrote this:

just want you to know one thing: i'm cool with you, i've moved past the resentment and hard feelings that were so natural at the beginning. so if i come up with things to do that i think you'd enjoy i may invite you along once in awhile...but i also understand any need you have for more time and space and respect that too. right now i just want to be your friend...

today she responded with this:

sorry i didn't reply to this earlier. anyway, yeah, i do need space and distance. i'm still trying to transition, and it's not that i am looking for ways to avoid you. i am adjusting to life on my own and for the most part doing pretty good, but i know hanging out like old times would mess with my emotional state. it's truly good to hear that you've been making so much progress though. have a good time this week with the doggies [i'm dog watching for my parents]

I'm happy to hear this, because finally I know exactly what she wants: space. Sure, I thought that was the case before, but now she told me, so I can more confidently give it to her.

I also like that she is apparently noticing signs of progress.

Any thoughts on if I should even respond to this, and if so how?

I was thinking of just a simple thanks and saying that I will respect her need for space. I could also add something about how I too am happy with my progress. But I have no idea if even this is too much considering what she just said, so looking for thoughts...

Regardless, whether I respond or not, aftwards I now know she wants space, so I will stop the pursuit (or even things that might look like pursuit). Basically dark time.