Scroll down on the given page. There you can 'close' = deactivate your account, but not delete it. No clarity about deletion = no spot on the white list, sorry. If you don't see the 'close' link, or want more info, read: http://www.etsy.com/help/article/53?ref=help_search_result
If deactivation is not enough for you, you could try and request deletion: http://www.etsy.com/help/contact (select Member Privacy for topic), or at least anonymise your account, then deactivate.
Direct removal link: https://www.etsy.com/your/account
Because an account at Etsy cannot be deleted, we suggest to make your data useless.
Be logged in on the site, then go to Profile Settings (Or Options, etc.). In all fields with personal data (such as name, address, city), fill in AccountKiller, if possible. If you can only choose from several options, change the value. If possible, use a homepage/URL field or long text field (such as Description) and put this line in it: http://www.accountkiller.com/removal-requested. This may incite webmasters to add an account deletion option.
If you can't find any contact info and still wish to ask something, for example a question about what exactly is deleted, about data retention, etc., you may contact the domain owners using this info.
If you signed up for Etsy using a third-party login such as Facebook or Twitter, you probably want to revoke all access from Etsy. Click the icon below to find out how.