Rain, no unless it starts without warning when I am out.
Wind, I don't like it, but I can tolerate it a bit more than DH. I just decide to forget about speed. Wind+rain, no. Wind+ a raw, cloudy day, no. I will hike on those days, though.
Cold has different levels for me. Cold (30 degrees) with sun and no or little wind is fine. I have the gear to go lower, but if there's snow, I'll be skiing, or at the gym, or snow shoeing. It's cold with clouds and/or wind that might be a tipping point. My ride Sunday was 36 degrees, cloudy, a little wind, and a few spritzes and a flurry. It was raw. But, about halfway through the 13 miles, I forgot about it and was fine. I wear my heated gloves when it's 40 or below, which takes care of my main issue. Anything else, I have clothing for. Truth is, once December 15th comes, I am ready to take a rest from cycling, but if there's a slightly warmer day and the roads are good, I will go. March is a fun month for me, because I often x country ski and ride because of the changeable weather.