EMB145 First Officer reported an autopilot disconnect and stick shaker activation after a wind-shear encounter during approach. Crew executed a go around and landed normally.

Narrative

I was PF and the Captain was PM. Winds were very gusty a ZZZ with LLWS advisories in effect due to a storm system passing through. The Captain and I both had briefed the possibility of a go around due to LLWS and the gusts that were reported up to 45kts at the time. We set up for the RNAV XX to maximize our chances of a stable approach in the given conditions. Aircraft Y departed ZZZ when we were on a 6 mile final and reported gains and losses of 15kts. As we descended on the RNAV XX; conditions began to deteriorate. I was letting the autopilot fly the approach so I could give a little more attention to our airspeed as we were experiencing gains and losses in airspeed by 20kts. Shortly as descending on the RNAV; we started to experience moderate turbulence; in which one jolt caused the autopilot to kick off. I immediately took control and I already had my hand on the yoke and continued to hand fly it on the RNAV. Tower reported a wind shear alert when we were on about a 3 mile final for gains and and losses in 20kts on the field (we could hear the alarms going off in the background of his transmission). I got slightly below Vapp and before I could add a power adjustment back in; we had a loss in airspeed due to wind shear which caused a brief activation of the stick shaker; not longer than one second. I immediately added power back in for the correction and the Captain called for a go-around. Upon completion of the go-around; I elected to transfer controls to him for the second attempt. Fortunately; the winds had considerably calmed down by the second attempt and the Captain landed.Suggestion: Better power management so that I have a little more airspeed on approach to ensure that I do not get slow; especially in gusty wind shear conditions