Hi Brian,
The problem is that there was quite a bit of British air activity over the Channel and France in the mid- to late-afternoon period, with Ramrods to Bourbourg and Beauchamps, a Rodeo to Dunkirk-St. Omer-Boulogne, and patrols by Whirlwinds. There were four German victory claims against these Allied operations, including one Spitfire (which Don Caldwell attributes to No. 72 Squadron). German anti-aircraft gunners also claimed a Spitfire near St. Aubin.
Scrambles were certainly flown (e.g. 'Addi' Glunz of II./J.G. 26 scrambled 12:07-12:46, and then again at 15:00-15:29, but recorded no combats), but whether they were against this lone aircraft is impossible to say.
Also, the
Luftwaffe Lagebericht for 7 November 1941 mentions 4 British aircraft over Holland, 78 over northern France, 16 over Normandy, and 2 over Norway, but none over Germany itself, so I'm not sure that this lone aircraft was detected.
Cheers,
Andrew A.
Air War Publications -
http://www.facebook.com/airwarpublications