In most states you could lose your driver's license for not paying a speeding ticket. You'd have a real emergency then, wouldn't you?
I would advise looking at the situation this way: What is the amount of the ticket in relation to your income and overall financial health? If the ticket is $100 and you make $200,000 a year, then stop worrying and pay the ticket. But if you got slapped with a $300 ticket and you only make $20,000 a year, then that could be an emergency.
If you can cash flow it out of your budget, then leave the emergency fund alone. If not, then dip in for just enough to pay the fine and replace the amount as quickly as possible. I mean, you've got to get it paid, right?
Just remember to slow down a little when you're behind the wheel.