Patients must be at least 18 years of age with relapsed, refractory or progressed stage IB-IVB CTCL mycosis fungoides/Sézary Syndrome. They must have at least 1 cutaneous lesion suitable for palliative radiotherapy and at least 1 measurable lesion with a minimum mSWAT score of 10, or 2 or more cutaneous tumours which will not be irradiated but must be measurable. Patients must have an ECOG performance status of 0-1 and adequate organ function. Patients cannot have received chemotherapy,targeted small molecule therapy, other monoclonal antibody, prior treatment with anti-PD-1, anti-PD-L1, anti-PD-L2 therapy or IMP within 4 weeks prior to the first dose of pembrolizumab. They cannot have CNS involvement, active autoimmune disease requiring systemic treatment in the past 2 years, a history of active TB or received a live vaccine within 30 days prior to the first dose of pembrolizumab.