You are between a rock and a hard place because the correct way of dealing with this is to throw it to the landlord.
The landlord could give notice to quit which at the present time under the Corona Virus Act must be three months notice.
The landlord can then take possession proceedings against you both but could agree to let you have a new tenancy agreement immediately. That way the landlord would actually be not losing any money.
The threat of the above to the other tenant is probably not a bad idea but if it doesn’t work, and you don’t know which way the landlord is going to jump, and if she will not get rid of the pet, your only remedy is for you to take the other person to court because you can’t beat her with a stick until she removes the pet.
If this is a flat, it is highly likely that it’s not only a breach of your tenancy agreement, it could well be a breach of the lease and its reported to the landlord by any other tenant, the landlord will probably find out anyway.
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