Hey there! Read up a bit on your stich and sorry to see the pain being dredged up once again by your W's involvement with the OW. However, there are tons of nuggets to mine from and her email deserves a response. Val and I can agree to disagree here.
From W's perspective, she is feeling very vulnerable as evidenced by her fear that you'd send the copy to the OW. That's the key. She's opening up emotionally to you and reaching out to you. The best action course is to validate and respond respectively without being caught up in W's confusion. From my perspective, if I wrote an email opening up to a person and not hear back from the person...I'd be somewhat insulted that they did not respect me by responding back to me. Put yourself in W's shoes and think about how you would feel if W did not bother responding to your email.
Another case to be made by responding to W's email is to show that the lines of communication are open between the two of you which is a part of the healing process and that you're open to dialogue. Showcase the new you to W!
I'd highly recommend that you begin by drafting a response to W here for us DBers to offer some ideas, suggestions, feedback and changes. This way, your email response will not appear to be clingy, chasing, etc. I've done it several times here on the boards when drafting a response to my DXW which was of immense help to me.