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Only seven words place T second and T third, and two of them are the same word spelled differently.
Both mean a fragrant oil distilled from flower petals, usually roses. The word came into English from Persian through Arabic, and neither spelling has ever settled as the standard one.
That makes them a genuine coin flip. The opening letter is the only difference, and nothing else on the page helps you choose.
One is the river mammal and the other means to speak. They are unrelated and they differ in the opening letter alone, exactly as ATTAR and OTTAR do.
So this small page carries two separate traps of the same kind. Several of its entries sit in pairs the pattern cannot separate for you.
O takes three of the seven, A takes two, and E and U take one each. A doubled T needs a vowel in front of it at this length.
ATTIC is the entry a puzzle is most likely to want, with UTTER and OTTER close behind. ETTLE, meaning to intend or aim, is Scots and the least familiar here.
ATTAR appears more often in modern writing, especially in perfumery. Both remain valid and dictionaries list each.
To intend, purpose or aim at something, in Scots and northern English. It is still heard in dialect speech.
A plural of otto, yet another spelling of the same rose oil as attar and ottar. The page carries three versions of one word.
The pattern places T in the second and third boxes, so the repeat is a property of the page rather than of any word on it.