Palindromes are the words that read the same backwards, e.g., level, peep. I don’t know about these, but  deed has a profound reason in its being a palindrome. The fact that deed is a palindrome alludes towards the truth of karma philosophy. According to the karmic principle/law, what you do, so is done to you. Now this fact is contained in the very word deed, i.e., what you do (de), is, what you get (ed). And furthermore, in my opinion, it is not about the reward/punishment of deeds in the hereafter, but one will have to face the music of his deeds, right here, if not right now !