In Texas neither car has the right of way (ROW). Texas law states when vehicles must yield to other vehicles, but NEVER gives a car the ROW over another.
Texas Transportation Code
Sec. 545.152. VEHICLE TURNING LEFT. To turn left at an intersection or into an alley or private road or driveway, an operator shall yield the right-of-way to a vehicle that is approaching from the opposite direction and that is in the intersection or in such proximity to the intersection as to be an immediate hazard.
Sec. 545.153. VEHICLE ENTERING STOP OR YIELD INTERSECTION. (a) Preferential right-of-way at an intersection may be indicated by a stop sign or yield sign as authorized in Section 544.003.
(b) Unless directed to proceed by a police officer or official traffic-control device, an operator approaching an intersection on a roadway controlled by a stop sign, after stopping as required by Section 544.010, shall yield the right-of-way to a vehicle that has entered the intersection from another highway or that is approaching so closely as to be an immediate hazard to the operator's movement in or across the intersection.
Texas does not have an "who gets there first" law.
"Speed is fine, but accuracy is final" --Bill Jordan
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