If you or your admin knows PowerShell, you can use the SharePoint PNP library to delete the folder:
#if not already installed
#install-module sharepointpnppowershellonline #requires PS 4.0 or later.
Connect-PnPOnline -Url https://yourServer/sites/yourSite
Remove-PnPFolder -name Test -Folder "/shared documents"
You may see recommendations to use the SharePoint "Sync" feature. Don't. This is a real overkill for just deleting a single folder, and opens up some interesting risks to other site data.
You can use Windows Explorer and map the library to a drive letter. You then display the library in Windows Explorer, click the folder and click Delete. (The items will be sent to the recycle bin.)
Windows Explorer can be very finicky and works for some and not others. You may need to logon to the site with Internet Explorer first. Do a web search with your windows version, browser version and error message for help.
Basic steps:
- Open Windows Explorer
- Right-click the Network folder/icon
- Click Map Network Drive
- Click "Connect to a Web site that you can use to store your documents and pictures"
- Click "Choose a custom location" and click Next.
- Enter the URL to your library. (Just the library, not a view: https://yourServer/sites/yourSite/Shared Documents)
- Click Next and enter a name and then click Finish.
- Windows Explorer should open with your library displayed.
- Delete the folder