It could potentially make a huge difference to a huge number of people's lives, mainly with regards to employment (many businesses may move jobs abroad, people may find it harder to come to the UK and get jobs there or move to the EU and get jobs there); but also on many other levels. What happens to British nationals living in the EU, or to EU citizens living in the UK? What happens to British citizens whose partners are EU citizens? Will they be forcibly separated from their families? All of these questions are still wide open at the moment, and many are understandably worried.
The drop in the value of the pound will make the cost of living more expensive for many, while the end of EU investment could cut off a lifeline for many of Britain's poorest communities. The economic outcomes will hit everyone to some degree.
And then beyond that, on a cultural level, Britain's stock has been greatly devalued. Where once many saw sophisticated Great Britain, many now see only bigoted Little England. That's not necessarily an accurate viewpoint, but it's one that sticks. Many who voted Remain now feel detached from their national identity, ashamed to be associated with those racist fringes by their country alone.
Meanwhile, Britain, as of Wednesday, the UK will have a Prime Minister with very little accountability. Theresa May quietly opposed brexit, giving her an immediate scapegoat for anything which goes wrong under her leadership. Meanwhile, her apparent belief that the UK should leave the European Convention on Human Rights is absolutely terrifying.
Overall, the UK has a completely dysfunctional political system propped up by a barely democratic electoral system and a horribly misinformed public. If that weren't the case leaving the EU wouldn't necessarily be a particularly bad thing (although I'd personally struggle to argue in favour of it), but with that being the case, it seems a recipe for disaster.
