Well, that's what we are here for, isn't it.
In this case you are either going to be a person who stands outside in the rain with a camera or a person who stands inside out of the rain with a camera.
For the former, we recommend that you get yourself a packet of Op/Tec Rainsleeves for your camera and lens before you go out. You can get drenched as much as you like but have a little pity on the expensive electronics. For $ 9.95 you get two sleeves and you can cope with the wet.
For the latter, we recommend a Datacolor SpyderCheckr 24 card and a set of LEDGO LED lights. Armed with the card you can balance out whatever light exists inside the home with the soft light of the LEDGO panels and do wonderful portraits and tabletop shots inside in the dry. Boil the tea kettle, break out the chocolate biscuits, and stand at the window laughing as the outdoor photographer trudges down the street.