I had almost similar issue but my was rather main images and variation images not importing whiles description images displayed well since that is stored and located on AliExpress servers.
Follow the steps below
1/ Login to your control panel;
2/ Go to Advanced -> Outgoing Connections;
3/ Click on the check-boxes on the recent IP address added in the "Recently Blocked Connections";
4/ After you have clicked on the check-box click on the button "add" , by doing so you will add exception rule for the IP address and the connection between your website, Alidropship plugin and Alidropship chrome extension.