Since C here is the proportionality constant .and it is the capacitance of a conductor.which means what amount of charge it can store per unit potential difference applied across the ends of the conductor.and since capacitance of a conductor specifically constant.So it is the charge wich is dependant on the capacitance and potential difference .THe main point is by the formula q=CV, it states that amount of charge which can be stored in a capacitor depends on the capacitance of the conductor and potential difference applied.
But on the other side as you mentioned V=QC it states that potential difference is dependant on the amount of charge and capacitance of the conductor which is not true .we can change it manually also
as it is independant on those terms.Hope you understood.PLZ appove.