IPA: /ˌɪɡ.nəˈmɪ.ni/
KK: /ɪgˈnɑːmɪni/
A situation or action that causes great shame or dishonor to a person.
He faced ignominy after being caught cheating in the exam.
Ignominy is formed from "ignominia" (from Latin, meaning disgrace or dishonor), which itself is derived from "in-" (meaning not) and "nomen" (meaning name). The word refers to a state of having a name that is not honorable, thus signifying disgrace or shame.
Think of having a name that is 'not' ('in-') respected or honorable ('nomen') — that's why ignominy means disgrace.