Since you've said that you 
  need to query a module based on specific atype_code
, i assume that you want only one module with the given atype_code.
Then you should either use Single/SingleOrDefault or First/FirstOrDefault. 
String firstModule = dt.AsEnumerable()
                       .Where(r => r.Field<string>("atype_code") == aTypeCode.Trim())
                       .Select(r => r.Field<string>("module"))
                       .FirstOrDefault();
// or
String singleModule = dt.AsEnumerable()
                       .Where(r => r.Field<string>("atype_code") == aTypeCode.Trim())
                       .Select(r => r.Field<string>("module"))
                       .SingleOrDefault();
Enumerable.Single throws an exception if there is more than one matching element. That can be useful to validate the data.
Edit:
Here's the query-syntax:
IEnumerable<String> modules =  
    from myAccType in dt.AsEnumerable()
    where myAccType.Field<string>("atype_code") == aTypeCode.Trim()
    select myAccType.Field<string>("module");
String module = modules.FirstOrDefault(); // returns null if no matching modules were found