Sincere advice , don’t use ear bud for wax removal, it will push the wax deep inside the ear, rather let it out.
You cannot touch inner ear. you might have touched Tympanic membrane( Ear drum).
Ear wax is one of the reason for Itch, but lot of other issues like Fungal , bacterial infection to the External canal will cause itch.
Please consult ENT for further management
Next Steps
Consult ENT for further management
Health Tips
Don’t use ear buds for ear cleaning