align object with collision normal then look at an object on one axis

Hello everyone, I am trying to align an object with another object normal when colliding, this part work juste fine. but then i need to make it look at another object on only one axis. heres my code for the moment.

         ContactPoint contact = colid.contacts[0];
         Quaternion rot = Quaternion.FromToRotation(Vector3.up, contact.normal);
         Vector3 pos = contact.point;
         transform.position = pos + transform.up ;
         transform.rotation = rot;

// then rotate to face another object but only on its Y axis

Note: the object can be in various angle after it is adjusted with the normal of the object.