Just used my first starter that had been in the fridge for 6 days or so, plus it had been fermenting for 4-5 days before that. My LHBS guy said that I'd have no problem, once everything had been kept sanitary.
This morning the airlock was lying on the ground. I was going to blame the cat, until I realized that fermentation was probably the culprit. Cat was let go free. Bubbling resumed after an hour or so after airlock re-installation.
You will have no problem.