Alright, I embarked on the somewhat nerve-wrecking glueing trip...
Before I applied the glue I checked the other segments and after inspection another stave came
off without even touching it and more cracks developed at other places

So what I had to do was almost reassembling all staves!
This was a bit tricky, and I really could not put much pressure on the shell parts at first.
I used the post-workout rubber band indeed - thanks for the tip, Chupacabra! - to keep the staves
in position, carefully "wrapping" the band around the middle part of the staves. Then, to apply more pressure on the upper and lower shell part, I took two ropes and two sticks... Well, I got into a sweat because I thought the
staves would never fit tight, but after sanding things turned out to be OK. The joints have got bigger glue
portions than the macho, but, most important, the whole thing will not fall apart and I think after
further sanding and finishing the hembra it will be alright.
Pics will follow. Thank you for the input so far everybody!