Have you configured capabilities for your user roles?
Also, do you get any JavaScript errors in your console?
Have you set your markets to “Enabled”?
In the screenshot you sent me I see a table of markets, but there should be radio boxes in front of each market, letting you choose the market. Perhaps the radio boxes are hidden with some CSS? Can you try with another theme such as twentyseventeen to see if the radios show?
Also, you could try displaying the markets as a dropdown. The shortcode would be: [wallets_exchange_market template="dropdown"]