my hope is that we won't be completely ruled by an undemocratic body, which is what the EU is
The EU isn't undemocratic.
In the EU, laws are proposed by an indirectly elected body, which acts as an advisory commission.
Its recommendations are then considered for approval by directly elected representatives of all the countries. They debate, argue and vote.
In the UK, laws are proposed by directly elected representatives.
These laws, after debate and vote, then go to an unelected advisory commission for approval. They debate, argue and vote.
The EU commission conducts far more thorough research, with access to greater experts, than the Lords. One point in its favour.
Whether you prefer the elected body approving the laws (EU) or the unelected body (UK) is probably personal. But it's incorrect to say the EU's not democratic.It's as democratic as any of the member governments, including ours.
However - and here's the kicker - we've had a really big say in the EU until now. Only 2% of its laws have been "imposed" on us. We voted ‘No’ to laws passed at EU level on 56 occasions, abstained 70 times, and voted ‘Yes’ 2,466 times. During our exit negotiations, we'll lose our rights but still be bound by EU law.
Also, if we want to retain free trade in Europe, we'll have to join the EFTA (if they'll have us.) This will mean that, like Norway, we will have to pay in as much as we do now - but won't have any influence and no right of veto. We'll still be bound by EU rules & laws. Therefore, the future of our relationship with Europe will be as 'undemocratic' as Brexiters thought it was before Thursday.