No she isn't, She's just a lawyer with delusions of granduer.
The tradition is that a Catholic QUEEN can wear white, this applies to either the regent or the Catholic wife of a Catholic king.
Mrs. Blair is the wife of the Prime Minister, equivalencies are irrelevant as his very office is that of PRIME Minister to a king or queen. The argument may have worked with an American first lady; however, John F. Kennedys was the only Catholic president and Mrs. Kennedy (also a Catholic) wore the traditional black when meeting Pope John XXII.