Changing all the queries/code/RecordSources in the FE keeps everything clean. It can be a lot of work so you shouldn't do it unless you really need to. However, there are two ways to avoid a big change in the FE. Option 1 obfuscates the name change so I don't recommend it since it will almost certainly confuse people. Option 2 is better but actually cleaning up everything is the best solution.
1. If you changed the name of the table but not any of the columns, you can delete the current link and link to the new table name but give the linked table the same name as the original. This is not obvious when you look at the table list though so I don't recommend it.
2. If you changed the name of the table AND/OR the names of some columns. Again delete the original link and link to the new table. Create a querydef that selects the new linked table and alias any column names that have changed. Save the querydef as the name of the original linked table. So, if you ever see a querydef named tblSomeName, you KNOW this is what someone did.