Sir Thomas Rudolph Hampden Smith, 2nd Baronet, CBE, FRCS (24 January 1869 – 25 June 1958) was a British surgeon.
He was educated at Winchester College and Trinity College, Cambridge, and trained as a doctor at St Bartholomew's Hospital in London, beginning his career there as a house surgeon.
He succeeded to the baronetcy on his father's death in 1909 and in 1913 moved to Torquay, Devon.
He was appointed Commander of the Order of the British Empire (CBE) in January 1920 for his work in the First World War, during which he headed the Torquay Hospital for Wounded Soldiers.
They had no children, and on his death in 1958 the baronetcy passed to his nephew, Thomas Smith, of New Zealand, son of his younger brother and fellow surgeon Gilbert.