The murder at the vicarage by Agatha Christie

I liked it, great book. It must be the first or one of the first Miss Marple books, because she says she only solved little mysteries,  up until now, she's never before confronted herself with a real big one, and now a man, Colonel Protheroe, is found dead, a shot to the head, in the vicarage's library; she lives very close so she was even an eye witness to a few minor events. Of course everyone thinks she's just an old lady with a lot of imagination, but as the vicar points out she's rarely wrong. In this case she has a suspect from the start, so she's very surprised to hear that a young man confessed. Soon enough, though, the police starts thinking he did it to protect his lover, the dead man's wife, and this theory is confirmed when she confesses too. The police and the vicar are very puzzled because she seems to have a good alibi, so they don't know what to think, they have no clue about who else might be responsible. At least until the Vicar receives a phone call : "I confess" and nothing more, but he recognised the voice of the man helping him with the vicarage's duties, and rushes to his house. Mr Hawes apparently committed suicide taking too much pills, and the vicar thinks that after all this might be the best solution, so he doesn't call a doctor, only the police. When Colonel Melchett arrives, he immediately calls the doctor telling himm to do whatever he can to save him, fortunately, because shortly after that Miss Marple comes in saying she hopes he makes it because the only thing Hawes wanted to confess was that he stole some Church's money, not the murder, and the real killer took advantage of this. She knows who the killer is and they set a trap to prove it, because there are at that moment no proves against them. I was very shocked at the vicar's behavious, and couldn't help but think that it played a big part in his decision the fact that he never liked the man. He would have acted differently with someone else, someone he liked.
A thing that was kind of annoying me while I was reading is that more than once I read someone say or think that men/women are good/not good at something, as if it was a fact, until I had the satisfaction to read Miss Marple saying that it's wrong to generalise. Thank you!! It would be a very easier world if generalisation always worked, but it doesn't.

ITA la morte nel villaggio