Hi Charlie!
It sounds like you'd like to update the email address that you originally added to your application.
Unfortunately, there isn't a way to edit this email address. Please note that only members who purchase from you can see this email address, and it only appears on the receipt. Otherwise, all email correspondences from Etsy for your Wholesale notifications go to the email address attached to your Etsy account - your retail and Wholesale account have the same email address.
If you'd like, you're welcome to add to your seller policies that members can contact you via your preferred email address, and list that for their knowledge. Additionally, you can always add your preferred email address of contact to an invoice when you're sending it to the buyer, so it appears on their invoice.
Your email address for Wholesale is the same email address that is on your retail shop. If you change this, it will affect your retail shop as well. To change your email address, sign in to your account and go to Your Account > Settings. Scroll down and fill out the "Change your email" form.
A confirmation email from changeemail@mail.etsy.com will be sent to your new email address. Once you click the approval link, your email address will be changed. If your email address is attached to another account, you'll receive an error message.
Thanks!