questionsyou're on the thru, nonstop side of a t…

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there are always stupid people out there. and whereas you might have the rightofway, they don't necessarily have a brain. in illinios you can get a ticket for failure to yeild to avoid an accident even if you had rightofway.
someone very wise once told me "a green light is permission to enter an intersection, not a command", i later married him.

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I'm sorry this happened to you and I am glad you are ok. Sounds like you did your best and you avoided the accident. Nothing more to do when a split-second decision is required.
Those near misses are incredibly stressful and can raise your blood pressure. But let it all go. You're home, you're safe and warm, and hopefully enjoying something good to eat. ou and your car are in one piece to get out there again tomorrow. So, relax and let the stress melt away. As @moosezilla says, sometimes other drivers engage their gears before their brains.

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Do your best to avoid an accident. If it is impossible to avoid one, try to minimize injury and, if possible, only involve the party that failed to yield.

In most jurisdictions, purposely not avoiding an accident is as bad or worse than not yielding right of way, though in most cases you'd probably have to admit to it to be prosecuted.

One of the main tenets of defensive driving is to assume that the other driver will screw up and to be prepared for them to do so. (Being plesantly surprised when they do not is optional.)

In the scenario you describe, cutting to your left worked because there was no on-comming traffic. Consider that cutting to your right, possibly clipping the tail of the other car, would have been the safer move, avoiding a head-on collision (had there been on-comming traffic) or her t-boning you, had she accelerated. (Of course, it is not possible for me to know what I would have done as I wasn't there; thus it is easy to make statements like this.)