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Thirty words put D first and I third, and three openings take most of them. The branches barely resemble each other.
R takes the second box in eleven of the thirty, thirty seven percent. E takes seven and A takes four. J manages two, which is remarkable for that letter, giving DJINN and DJINS.
DAILY, DAIRY and DAISY are the reachable words in the A branch, with DAINT filling it out. All three end differently, which makes the branch far more useful per guess than its size suggests.
DYING and DOING both land there and both are extremely common. They differ in the second box only, so if your puzzle shows an ING ending the page narrows to a single question immediately.
Y and S each close seven of the thirty, which is fourteen between them. N leads the fourth box on seven words, and only two words repeat a letter.
On this page yes, and both are common enough to be worth checking first if the ending is confirmed.
Variant spellings for a spirit in Arabian folklore, also written genie. They are the only words here with J in the second box.
Yes, it is a variant of dryly. It sits in the R branch and is one of the words most likely to be missed.