Question

remove the object only if you can see it and grasp it.
tilt the head to the affected side and gently shake.
stabilize the object with a paper cup.

Explanation:

The instructions (tilting the head to the affected side and shaking, removing only if visible/graspable) align with first aid for an embedded object in the nose—this method helps dislodge visible, graspable nasal foreign bodies without pushing them deeper.

Answer:

Embedded object in the nose