1) When having EDIT rights:


You can click on the link “Open in Desktop App” somewhere in the middle of the Word Online Ribbon. This will open the SharePoint Server Document using the Microsoft Word client on your computer. 



2) When having READ rights:


You can click on the link “Open in Desktop App” somewhere in the end of the Word Online Ribbon. This will open a saved copy on your PC of the document, using the Microsoft Word client. 






3) When having VIEW rights: 


You will not see a link to “Open in Desktop App”!!

Please provide the link to the document and create a helpdesk ticket to request READ access.