Do you live in the property and if so, does this tenant share any facilities or living accommodation with you?
That is good news.
Once the notice period has expired (give at least 1 month) then you can simply lock the lodger out when they next leave the building although you have to give them their belongings back. They have no more rights than someone who is staying in a guest house. They are classed as an excluded occupier and the relevant pages from this government many website pages 3 and 5.
What you might want to do is print the pages off and give them to the lodger and suggest that she reads them and tell the lodger that the next time she goes out, she will find herself locked out and if she starts to cause trouble, you will simply call the police.
Can I clarify anything for you?
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For the purposes of this, you are the landlord because you are in charge of the property and you are collecting the rent. You don’t have to be the owner of the property to be a landlord.
It doesn’t change my answer. You have the authority of the landlord to do this in exactly the same way as letting agents very often have the authority to do the same and serve notices.