Access 2016 - cannot add new links to External Machine Data Source - ODBC database tables

Question

I'm running Access 2016 (64 bit) on Windows 10 and only recently noticed this problem. I have several functioning databases that already have a number of working links to tables on two or more External Machine Data Sources. When attempting to add a new link I go through the usual procedure of clicking on "External Data", "ODBC Database" select "Link to the data source by creating a linked table" then go on to select the desired Machine Data Source; at this point the list of available tables comes up and everything seems fine. The problem arises when I select a new table (one I do not already have a link to), click the "Save password" box then proceed: I ultimately end up with an "ODBC--call failed" error that specifies "Error while executing the query (#1)". The first thing I would normally suspect would be a problem with the ODBC driver configuration but all my pre-existing external links continue to function just fine; I only encounter problems when attempting to add new links. How can I find out more about the query mentioned in the error message? Is this "query #1" a universal thing or could it be specific to the way my particular ODBC driver config is set up?