Undeterred means still going, despite everything in the way. The obstacle arrived, and it did not work.
The word almost always comes after a setback has been described: undeterred by the rain, undeterred by three rejections, undeterred, she tried again. That is its whole grammar — it needs the discouragement to have been named first, or the sentence sounds like it is missing something. It is a compliment about persistence, and it sits inside the family of deter, deterrent and deterrence, where the idea is always of something meant to put you off. Here, it did not.
1adjectiveundeterredContinuing despite difficulty or discouragement.
“Undeterred by the weather, they set off at dawn.”
synonyms: unfazed, undaunted
From un- + deterred.
Etymology from Wiktionary, CC BY-SA