A220 pilot reported overshooting cleared altitude on a missed approach at BOS; citing turbulence and a wake encounter as contributing.

Narrative

After a long hold to allow winds to decrease and allow for a legal approach we set up for an ILS for Runway 22L at BOS. Once we checked in with Tower frequency; we were cleared to land and received one last wind check. These winds were once again out of limits so I informed Tower we were illegal to continue the approach. Tower acknowledged this and cleared us to climb now to 2000 feet since the aircraft ahead of us also went missed approach for winds and was climbing up to 3000 feet which is what is published on the approach plate.We initiated the missed approach slightly above 1000 feet and by the time we executed the procedure and heard the new altitude clearance we climbed through the 2000 feet limit by about 300 feet. There was significant turbulence and possible wake turbulence as well as we climbed and eventually leveled off at 2000 feet. At no time was there any concern about our flight path and the aircraft ahead of us. The rest of the go-around and subsequent diversion were uneventful.