IPA: /ˌiː.vænˈdʒɛl.ɪ.kli/
KK: /ɪˌvæn.dʒəˈlɛk.li/
In a way that relates to spreading the Christian gospel or promoting religious beliefs.
She spoke evangelically about her faith, hoping to inspire others.
Evangelically is formed from "evangelical" (from Greek "euangelion", meaning good news or gospel) and the suffix "-ly" (meaning in a manner of). The word describes something done in a manner that relates to the good news or gospel, often in a religious context.
Think of 'good news' ('euangelion') to remember that 'evangelically' means doing something in a way that relates to the good news or gospel.