Learn Turkish: Kocasının gururundan utandı. - She was ashamed of her husband's pride.

It looks like it because it describes an internal feeling and ends in -n, which is common for reflexive verbs. However, in modern Turkish, utanmak is a base root verb on its own. You don't take the -n off to find a simpler verb root, even though it shares that internal 'feeling something yourself' vibe with true reflexives.

Why does the sentence use the -dan ending in gururundan when the English translation says ashamed 'of'?

In Turkish, verbs often demand a specific case ending on the noun they interact with. The verb utanmak (to be ashamed) always requires the ablative case (-dan / -den). Think of it as feeling shame radiating 'from' a source.

How exactly does the word kocasının translate to 'her husband's'?

It combines two different suffixes. It starts with koca (husband), adds -sı (the 3rd person possessive meaning 'her'), and then adds -nın (the genitive case meaning 's' or 'of'). Together, they link the husband to his pride in the next word.

Why is there an extra -n- in the middle of gururundan?