Puzzle of the Week #464 - Mystery Word Game

A player plays a Wordle type game, where feedback is given after each guess. The player correctly finds the answer ‘DELAY’ on her fourth guess. Her guesses were:

 I  S S U E

A L A R M

B I D E T

D E L A Y

At each point the guess could have been the solution, in other words she hasn’t employed any clever elimination tactics. There were still a handful of other possibilities at the point where she got the answer, but it was not unreasonable that she guessed it after four guesses given the feedback she had.

What feedback was she receiving after each guess?

An extra challenge if you fancy it: find another word that still might have been the answer after the first three guesses, with the feedback as it would have been for DELAY.