1. the time by which something must be finished, submitted, etc. 2. (formerly) a boundary around a military prison beyond which a prisoner could not venture without risk of being shot by the guards.
While it's important to talk with your doctor about the cause of your slurred speech, slurred speech caused by anxiety is not dangerous. It's not a sign that you have something else coming, or that your brain will somehow be inefficient for handling life tasks in the future.
This is very different from aphasia and dysphasia, an impaired understanding or problems in expressing words, caused by a problem in the language centres of the brain. People with dysarthria usually slur their speech and sound as though they are drunk, but they may also speak very slowly, or sound hoarse, or nasal.