"Did he resign?"
If you bother to read what is written, the British Government refused to accept his resignation because of the embarrassment it would have caused to have done so.
Shortly afterward Kitchener was drowned leading to rumours that his drowning was deliberate - rumours still circulating 20 years ago when we visited Orkney.
The whole affair has been covered in various discussions here - it seems you don't read these postings, just as you don't read history - wake up at the back there!
Jim Carroll