Turn on the WP debugger. Your theme /OR css is causing issues (revealed by just a quick look with Firefox , blaring warning comes up.) i.e resources Icons not found causing stalling out, css sheets cant load. As mentioned in Troubleshooting any JS errors can cause issues with results loading.
The Developer is working on a paying development project so cannot delve into your site at the moment. but if you can turn on your WP debugging (see troubleshooting) and provide additional information as to what is happening behind the scenes. , such as error logs etc. he might be able to point you in the right direction..this post does not provide enough info unfortunately. If you need more help after that and need him to log into your site please refer to the paid support options
(next biz day site login is one of the options)