IPA: /ˌʌn.kəmˈprɒm.aɪ.zɪŋ/
KK: /ʌnˈkɑmprəˌmaɪzɪŋ/
Not willing to change one's position or beliefs; strict and inflexible in one's principles or demands.
Her uncompromising attitude made it difficult to reach an agreement.
Uncompromising → It is formed from "un-" (meaning not) and "compromising" (from Latin "compromissum", meaning a mutual promise or agreement). The word describes a stance that does not allow for any agreements or concessions.
Think of someone who is 'not' ('un-') willing to make any 'mutual agreements' ('compromising') — that's why uncompromising means refusing to compromise.