Per the dominant hypothesis (the Solar Nebular Disk Model), it would be unlikely for the cloud to have a sizable angular momentum without
some external torque. There's the angular momentum problem to consider. Our sun comprises over 99.8% of the total mass but less than 4% of the total angular momentum of the solar system. The nebular model solves this problem: Stars selectively attract those particles in the cloud that have very little angular momentum. In solving this problem, it introduces a new problem. Where does the angular momentum in the nebular cloud come from?