No. You don't need to have multiple email accounts, or check multiple Inboxes when you use Enygma.
Enygma doesn't force you, or the recipients of your emails, to go to a third party webmail site to send or receive secure emails. Your secure messages are found in your current Inbox, not divided in multiple locations and Inboxes. You can thus easily and safely find them, organize them, all within the confines of your current email system. You also don't need to learn or use any another mail system.