There are 248 4-letter words starting with T in the ENABLE dictionary — 6% of all 3,903 words at this length. T is a one-point tile, so the value in this list is positional rather than numerical — which of these you can play depends far more on where it fits the board than on what it scores.
The list divides into 11 groups by second letter, the largest being the 58 words with to. Scanning the right group is faster than reading the whole list, which is why it is broken up below rather than run alphabetically.
If you know more than one letter, this page stops being the fast way to find it. Enter what you have in the unscrambler — the Contains, Starts with and Ends with filters combine, and setting both length fields to 4 narrows this list to the handful your letters actually allow.
All 248 words, by second letter
TA… (47)
tabs tabu tace tach tack taco tact tads tael tags tahr tail tain taka take tala talc tale tali talk tall tame tamp tams tang tank tans taos tapa tape taps tare tarn taro tarp tars tart task tass tate tats taus taut tavs taws taxa taxi
TE… (30)
teak teal team tear teas teat teds teed teel teem teen tees teff tegs tela tele tell tels temp tend tens tent tepa term tern test teth tets tews text
TH… (19)
thae than that thaw thee them then thew they thin thio thir this thou thro thru thud thug thus
TI… (28)
tick tics tide tidy tied tier ties tiff tike tiki tile till tils tilt time tine ting tins tint tiny tipi tips tire tirl tiro titi tits tivy
TO… (58)
toad toby tods tody toea toed toes toff toft tofu toga togs toil toit toke tola told tole toll tolu tomb tome toms tone tong tons tony took tool toom toon toot tope toph topi tops tora torc tore tori torn toro torr tors tort tory tosh toss tost tote tots tour tout town tows towy toyo toys
TR… (20)
trad tram trap tray tree tref trek tret trey trig trim trio trip trod trop trot trow troy true trug
TS… (2)
tsar tsks
TU… (24)
tuba tube tubs tuck tufa tuff tuft tugs tuis tule tump tuna tune tung tuns tups turd turf turk turn tush tusk tuts tutu
TW… (8)
twae twas twat twee twig twin twit twos
TY… (11)
tyee tyer tyes tyke tyne type typo typp typy tyre tyro