IPA: /ˌʌnəˌpɒləˈdʒɛtɪk/
KK: /ˌʌnəˌpɑləˈdʒɛtɪk/
Not feeling sorry or regretful about something; not willing to apologize for one's actions or beliefs.
She remained unapologetic about her decision to leave the job.
Unapologetic → It is formed from "un-" (meaning not) and "apologetic" (from Greek "apologia", meaning a speech in defense). The word "unapologetic" means not expressing regret or remorse for one's actions or beliefs, essentially standing firm in one's position without offering a defense or excuse.
Think of 'not' ('un-') feeling the need to 'defend' ('apologia') oneself — that's why unapologetic means not feeling sorry or needing to explain.