I am not predicting the rut, but from my own observations so far this season it has been an odd one in the West Sussex area. The bucks have not shown as they usually do, they are keeping tight in the cover, and are only moving for about 60 minutes in the morning and evening, and the bigger bucks have been showing much more than usual and earlier in my opinion.
This could be due to the very late spring, and also the crop rotation on the estate has been knocked out of kilter as every field failed due to the bad weather.
On the other hand I saw a Roe doe with a fawn in mid April which is early, although since then I Have seen does with twins and singles that are only possibly 6 weeks old at the maximum.
Generally the rut is on in late July in this area, last year it was the last week of July, but again the weather was rubbish. If I was to place a bet I think it will be slightly early, possibly kicking off at the end of the third week of July, but then it really is in the laps of the gods.