Chicken tikka masala is chicken tikka, chunks of chicken marinated in spices and yogurt, that is then baked in a tandoor oven
Those don't sound like British words... let's follow the links:
Chicken tikka is a chicken dish originating in South Asia.
A masala is any of the many spice mixes used in Indian cuisine. The name comes from the Hindi word for spice.
The tandoor is used for cooking in Southern, Central and Western Asia.
Did you mean British commonwealth, or British isles?
Nobody is disputing the Asian influence on British cuisine. And nobody is disputing whether or not tikka masala is British.
"...The historians of ethnic food Peter and Colleen Grove discuss various origin-claims of chicken tikka masala, concluding that the dish "was most certainly invented in Britain, probably by a Bangladeshi chef".[14] They suggest that "the shape of things to come may have been a recipe for Shahi Chicken Masala in Mrs Balbir Singh’s Indian Cookery published in 1961".[14]..."
That's not British though, it's Indian.