You need to report the incident to the insurance carrier for the car you were driving. No one can tell you who is at fault from the facts you have shared. You need to consult with a qualified attorney and you need to obtain the police report. Meet with the attorney and ask him/her for your best options.
In NY there is comparative negligence. In other words fault is divided by percentage. Even though you had the stop sign and the other vehicle had right of way, the other vehicle might bear some fault for the accident. One factor is, point of impact with your car. Notify the owner's vehicle insurance. Were you or someone in your vehicle hurt?
A lawyer can't determine fault from an Avvo posting, but it sounds like you failed to yield, thus, simply report it to your insurance company so they can cover the damages.
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