IPA: /nʌnˈɛlɛkʃən/
KK: /nʌnɪˈlɛkʃən/
Not having or relating to a voting process for choosing representatives or making decisions.
The committee made a nonelection decision to appoint a new leader instead of holding a vote.
Nonelection is formed from "non-" (meaning not) and "election" (from Latin "electio", meaning a choosing or selection). The word refers to the state of not being elected or the absence of an election.
Think of 'not' ('non-') combined with 'choosing' ('electio') to remember that 'nonelection' means the absence of a choice or selection.