Ted here from Shopify, thanks for reaching out to us.
2Checkout tend to decline dropshipping store applications, however, there are blogs online that offer advice on how you can improve your store so that they might accept your application. I'd recommend checking out this guide for example, as it offers some great tips.
Where are you currently located? I'm happy to take a closer look here to see if there are any other gateways that might suit your business if you would like?
Feel free to reach out to our Support team any time as well. We're here 24/7 via Facebook, Twitter, chats, emails and phone. Just click 'talk to support’ for some more info.
Thanks a mill,