If it matters you won't be able to glue it back successfully (too much stress), and if it doesn't matter, it won't make a difference.
With the cable slack the derailleur is well inset of the small chainring so [I have done] something seriously gone wrong
FTFY
Ensure that, by adjusting the band-on clamp on the seat tube, the cage is parallel with the chainrings and when pushed across over the largest ring, is 2-3mm clear of the teeth (if you can't push the cage far enough across, loosen the H (upper limit) screw (doubt this will be needed).
Ensure the LH shifter is clicked to the lowest point (no tension), with the chain on small/smallest, adjust the lower limit screw till the cage inner plate is 1mm inboard of the chain. Is the cable slack? Tighten it and reclamp. Bit more fiddling and you should be there, and can get more village names. 'Zeal Monarchorum' was one I had to go over a 100km for.