With the greatest respect, your commuting problems are nothing to do with me. Your behaviour when cycling on the pavement on which I am walking, hiwever, are. At the very keast I would expect you to slow down significantly the closer you became to me, (so slowly probably that your cycle will wobble anyway and you'd have to stop), or stop while I passed you. I would expect you to get out if my path as you are not supposed to be on the pavement anyway.
If you are a competent cyclist, then you caan cycle on the road.
If the road is too scary (and Iunderstand that, I used to cycle to work in central London, going roung Trafalgar Square is terrifying, as is crossing Oxford Street, and a few other places I can think of round the British Museum etc), well get off, or stop or go slowly. Keep out of pedestrian's way - you have taken the choice to cycle on the pavement, a pedestrian doesn't have the choice to walk in the road. The onus is on you if you want totake their space.