After the church, we wandered over to the National Museum of Iceland, which was a 15 minute walk. It was windy and the temp was +1 but the sun was out which made it a little better. We only had an hour left before the museum closed and only 1.5 hours before the sun went down.
To be honest, the museum was not my favourite. It outlined Iceland from settlement to now which I didn’t find overly interesting so the fact that we only spent an hour there was fine with me.