SR-22 pilot reported momentary loss of aircraft control in IMC conditions after inadvertently turning off the autopilot. The pilot was dealing with nausea at the time of the event.

Narrative

On Date I flew an IFR flight plan from ZZZ to ZZZ1. The preflight weather showed that it should be good to travel to ZZZ1; yet IFR; in the time frame I was planning; but I did have an alternate of ZZZ2 just in case. In route; south of ZZZ3 I noted on ADS-B that there was convective weather ahead around ZZZ3 and asked that I be deviated to the west to avoid (as it was moving East) and was told to wait until the next controller to make the request. I did and the next controller did help and allow me a west deviation and he thought that it was enough; but it was still into very convective conditions that in turn made me nauseous. Within 2 to 3 minutes I was feeling better and decided to continue the flight to ZZZ1.In hindsight; with the drop down in health; even for a short period; I should have asked ATC to allow me to deviate and fly east to the nearest reasonable airport with visual approach weather in order to land and know that I was recovered and was fit for flight; or wait for such. I was entering ZZZ1 airspace and the air was fairly convective and I was starting to feel nauseous again while flying the ILS to Runway XX approach. My wife was the only passenger in the plane and helped me with a jar to retch into. She mentioned that she did not know how a pilot can keep hands stable enough to program the avionics in turbulence. At a certain point on the approach while retching and hitting a spot of severe turbulence at the same time; my hand and arm unfortunately hit the Auto Pilot off button and pushed the yoke. I was in IMC. That put the aircraft in a bad attitude of turn and dive. It took me a bit (in my nauseous state) to level the wings and recover from losing altitude. ZZZ1 Approach asked if I had an autopilot issue; which I said I did (due to accidentally turning it off). ZZZ1 had me climb and vectored me to a second approach. I flew the vectors on autopilot at altitudes given but; and I think due to continued nausea and therefore not thinking 100%; I failed to 'activate the approach' when I neared joining the localizer from vectors. When I noticed I was going through the localizer vector; Approach noticed as well quickly and initiated a third approach; asking me if I wanted a different one. I stated that I would take the RNAV XX approach; thinking that in my state flying the waypoints might be less taxing. That approach was flown without glitch.When I landed I was asked to call Tower. I did. I communicated what I have communicated here. They were very gracious and also sent a policeman/EMT to the airplane to make sure I was medically OK. I also believe my body was weak and thereby exacerbated the nausea as post the flight I seemed to fight off a bug in the two days following. I did feel that my IMSAFE was good before flight as I had no concerns with any of those issues/statements. I do now have nausea bands (pressure points) to wear when flying IFR just as a precaution. I wear them deep sea fishing with no issues.