The airspeed indicator uses the pitot tube. It typically hangs below a wing or against the fuselage of the aircraft. The wings of the aircraft are the primary structures that provide lift, allowing the aircraft to fly.
If ice forms over the pitot tube, the airspeed indicator will be inaccurate. The pilot would still have full positive control of the aircraft.
Ice changes the shape of the wing, which reduces its lift and adds weight to the aircraft. This can create a scenario where the pilot can lose control of the aircraft.
Heat melts ice from the pitot tube, and many aircraft have devices on the wings to melt and break ice.
Most airports provide deicing services to remove ice from the aircraft prior to departure.
If your aircraft is not capable of flying in known icing conditions, avoid flying anywhere there is visible moisture and freezing conditions.