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Only eight words put E first and N third, and most of them are not words you would ever use.
ENNUI is the one genuine entry here, meaning a listless boredom. The rest of the group is made up of names and obscure forms that no puzzle is likely to ask you for.
The second box is N in half the group and R in most of the rest, so the shape is narrow as well as short.
E is a common opening letter, so the shortage is not coming from there. It is the N in the third box that does the damage, because after an opening E most English roots want a consonant cluster or a vowel in that position rather than a lone N.
Lists this thin are worth reading once so you know not to trust a puzzle that seems to point here. More often than not one of the two letters is a box off.
It is uncommon in speech but it does appear in writing, and it is the only entry in this group most people would call a normal English word.
ENTER, ENJOY and ENEMY all put N in the second box. This pattern needs the N one place further along, which removes the entire EN prefix family.
Only if a puzzle has genuinely confirmed both letters. With eight words and one usable entry there is very little to gain from guessing here speculatively.