Trustworthy is a nice word. It begins with the letter t.
Trying
Teachable
Tidy
terrific
apparently there is no adjective for it that starts with T
Tidy
Some nouns that start with T are:tabletalentteateacherthingthreetiletitletoothtotaltroubletruthtubtulip
Tokyo
truck
tieredterribleticklish
Technology
teriffic
Some herbs that start with T are:tarragonthymeturmeric