From your post, it sounds like you've worked through the anger. Great if you have. If you still feel yourself there, take a moment to pray... look in the mirror... or speak to your inner child, about it...
WHO are you angry at? Your W... or you...? Feel it, experience it, own the anger... and let it go... as you would any overwhelming, uncomfortable feeling...
rinse and repeat as necessary...
Your W may (rightly) fear being hurt... so should you...
Protecting your W from her fear does not have to be your job.
As always, a letter CAN cause a chain of reactions. Like walking onto the highway, wearing a blind fold... take the blind fold off...
What would it mean to you if there was no response?
What would it mean to you if there was a positive response?
What would it mean to you if there was a negative response?
What does sending the letter mean... to you...?
And once you've owned responsibility for the letter... as is... or as you might modify it... and your choice to send it...