I wouldn't worry and you now have active fermentation so I'm pretty sure you're fine.
FWIW, I work in a small craft brewery as head of brewing and spoke at great length to our Lallemand rep who walked us through rehydration of fresh dry yeast. Rehydrate in distilled water is fine. Boiled/cooled is fine. Stirring is fine after an initial 15 minutes of rehydration. Do NOT oxygenate on initial pitch, not necessary. Following those instructions we do just fine.
Speaking to another senior brewer in the business... Do NOT rehydrate, not necessary. ALWAYS oxygenate.
The saying in the homebrew world of "Ask 10 homebrewers a question, get 15 answers" applies equally in the pro brewer world.