would this be a 'strange' thing to do or is it my choice

i am a medieval enthusiast, been to a few reenactments in the past, and sometimes i get tempted to wear a medieval hood or cowl just going to the shops outside, or a shawl around my head to make myself look like a figure from the middle ages...would there be anything wrong with that? to be different from the social ''norms''?

should i not give a shit about what people think and just go ahead and do it?