There are a plethora of words that fit such a description, such as strong, staple, attack, and otitis [ear infection], just to name a few...
Better
Could be 'target'.
Some six letter words beginning with T are:tackletampertangletellertempertemplethirsttimbertissuetoilettonguetoppletorquetorridtrickytripletumulttundraturkeyturtle
honest
Rabbit
TinkerTeasedTremor
crates
talenttyrantteapottickettrivettenant
Auntie?
temple
Quaint is a 6 letter word that begins with the letter q and ends with t.
Itself.