TD stands for Teachtaire Da/ile, literally messenger of the Dail or representative of the Dail.
The Dail is the lower house of the Oireachtas (parliament) in Ireland; the Seanad is the upper house, and a member of the Seanad is called a Seanado/ir. (in both cases I've used a forward slash after a letter to represent a si/ne fada or a variant of the acute accent used to change the pronunciation of a vowel in I
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