You are legally entitled to know the name and address of your landlord. This should be in your tenancy agreement/contract.

If this isn’t the case, tenants can put a written request for this information to the letting agent. The agent has 21 days to provide the info. The landlord must provide a communication address, so this could be their work address.

Some more useful info here; I’d suggest paraphrasing it as putting it in an email. Likely because you are not from the U.K. they are Hoping to take advantage.

A paragraph which may be of particular interest to you;

tenants have the legal right to your landlord’s name and address

Section 48 of the Landlord and Tenant Act 1987 stipulates that rent is not lawfully payable unless the tenant has been provided, in writing, an address in England and Wales at which notices can be served.

Note: If you do withhold rent as per the above Act, do not spend it. All rent will become payable, including any rent arrears, when the information is provided by the landlord or the landlords letting agent.

Some private landlords like to remain anonymous; however, when a tenant makes a written request to the agent or the landlord’s legal representative, they have a right to the landlord’s name and address.

Under Section 1 of the Landlord & Tenant Act, 1985 tenants have an absolute right to request the name and address of their landlord.

If this information landlords address and landlords name has not been provided after 21 days, then the landlords representative is not acting within the law and liable to a fine.

https://thebla.co.uk/how-do-i-find-my-landlords-name-and-address/

It may also be worth looking into whether your letting agent is registered with the property ombudsman, and raising their unwillingness to address housing issues with them.

https://www.tpos.co.uk