UK income working in Sweden
i am a Brit living in Sweden . I recently moved here and since my move have started consulting for a UK company and paid in GBP by them, with my consulting address agreement being an English one. The work is carried out in Sweden though. I believe I am a sole trader and the UK company does not have to register here? Is that correct? Also do I have to pay Swedish tax on the income before the UK tax is known (which will not be until Jan 2024).
Thank you in advance for any help.