- Human rights are governed by the European Convention on Human Rights (ECHR), which is a separate organization and treaty than the EU. It's unlikely the UK will leave the Council of Europe too.
- Safety regulations on products are part of the single market treaties, just as free movement of people is. If the UK wants to remain in the EEA (e.g. through membership of the EFTA), it will still have to accept those.
And this coming from a politician that, for most of the Brexit campaign, kept on the sidelines because she was undecided about which side to choose? From a minister that introduced the Snooper's Charter, massively expanding the scope of their intelligence services? Yeah, those pesky human rights could well interfere with her method of governing.
But her statement really shows her (willful) ignorance:
"The ECHR can bind the hands of parliament, adds nothing to our prosperity, makes us less secure by preventing the deportation of dangerous foreign nationals – and does nothing to change the attitudes of governments like Russia’s when it comes to human rights"
As the home office minister, she should know damn well that the ECHR has no teeth except for EU regulation. Leave the EU, and there is no enforcement mechanism left for ECHR rulings. Not to mention the inconsistency of her own statement: how come the ECHR binds the hands of the UK government, but not Russia's? (The answer is above: it's EU regulation, not ECHR that bound her hands).
