As you see, in June 42 Delhi was escorting QE, very high value ship which was probably in troop transport mission.
According to Roberts' British Cruisers of WW Two RN evaluaded gunnery trials of Delhi as highly successful.
Juha
AFAIK, Delhi never saw an enemy aircraft during her entire time in UK waters. IMHO, Delhi must have been having problems with her MK37 system, especially after radar was added. Since she was one of the first ships equipped with it, it would have been very surprising if she had no problems.