The relevant bit from Natural England:
Most recent population figures by the Avian Population Estimate Panel (APEP) estimate the number of territorial breeding pairs of common buzzard in the UK as between 57,713 and 80,012.
In certain isolated cases however, buzzards - like any predatory species - can cause serious problems. In this particular case, the applicant - a small scale gamekeeper – has sustained increased levels of predation by buzzards over a period of several years. Natural England has provided advice on a wide range of non-lethal methods and deterrents over the years - including scaring, diversionary feeding and habitat improvements - but despite their consistent application, buzzard predation has continued.
Given these circumstances, the licence applicant submitted an application to carry out lethal control (shooting) and nest destruction. Rigorous assessment of the application against the criteria set out in Defra’s policy guidance concluded that the damage being caused was not serious enough to licence lethal control, but did meet the criteria for the less severe option of nest destruction. Government policy stipulates that licences should not unreasonably be withheld where the criteria are met and the Wildlife and Countryside Act 1981 (as amended) allows action to be taken against protected species to protect livestock (which includes any animal kept for the provision or improvement of shooting). A restricted licence authorising the removal of a total of four buzzard nests was issued on that basis with the licence operating over a strictly defined timescale to reduce the risk of eggs being present. A total of four nests were removed and no further control activity has been authorised