Burst has a integrated shop, here you can sell your things. You should be able to transfer the information about the AT to your website. I'm almost 100% that we have 0 payment processors, not even Shapeshift as a payment processor.
You can check 2171942514119764562, i think it's a harddrive by Crowetic.
I know about this marketplace. However what I would like would be to be able to sell on my website. The profit that I'll do will be so tiny that it won't even be worth the time that I'll spend on it. That's just to give BURST a bit more of visibility, which wouldn't be achieved if I sell on the integrated marketplace.
I am not aware of a payment processor at this time, though with ACCT (cross chain transfer) it would be possible to pay with another coin that had AT implemented, and with the new additions that will be coming out soon, it should be possible with almost any coin. So hang in there, and we will be able to do that soon!
If you would like to accept BURST at your shop, why not just create duplicate items in your shop, on the BURST market, and link to them via your shop? you can link the marketplace explorer, because after all, the people who would be wanting to pay with BURST, should have BURST, right? then it would just be a matter of accepting the order itself through the BURST market.
Thank you for your help. You're right, I'm quite stupid, and I did not even tought that people who will go there, will obviously have BURST ! Is it possible to post pictures of the items on the integrated Marketplace ?