Sheila Terry (born 7 June 1950) is an Irish former Fine Gael politician who served as a member of the 22nd Seanad.
As a member of the Progressive Democrats (PDs), Terry was elected at the 1991 local elections as a PD member of Fingal County Council for the Castleknock electoral area. She stood as a PD candidate in the Dublin West constituency at the 1992 general election and at the by-election in 1996. and did not contest the 2007 general election. She stood again in the 2007 Seanad election, but lost her seat.