If the tenon has broken from the stem, don't glue it. Send it out for repair. A good pipe repair person can replace just the tenon and save the bit in most cases.
Any pipe repairman worth his salt can replace the tenon with a Delron one. I use Tim West at www.jhlowe.com. Be prepaired to wait about 3 months for it to come back though. With todays economy, Tim tells me many more people are haveing their pipes repaired rather than purchasing new ones. The same is true with Howard Schultz.
Our local B&M uses Norwwod Pipe repair in Clifton, Tennessee. Excellent work, very reasonable prices and quick service. They also make pipes that look very nice and also reasonably priced. Good luck.
http://www.norwoodspiperepair.com/index.html
Zooming in on the pic a bit...it looks like this is nothing to worry about.
Correct me if I'm wrong, but it looks like the tenon has a raised ring on it (maybe 1/3 from one end) and has simply pulled out of the stem. Push that sucker back in.
Did it pull out ! If so just use one drop of super glue and push it back in . A temporary repair is to use a split roll pin to join the two broken halfs , if it is broke . Roll pins can be found at most NAPA parts stores . A small set of watch maker files are then used to open up the draft .
Corecto-mundo bytor !!! it just puled out, and its just as you describe it. the tenon has some residue of dry glue on it, i pushed it back in and it slides back out. and this tells you a lot of the newer craftsman ship i purchased this Nording about 6 months ago and i used it about 10 times. i guess super glue will have to do its job thanks igloo.