I think the landlord in this case is wise to be cautious about letting My Deposits handle this.
Immigration Act revised 2016 should a landlord or letting agent fail to ensure ALL tenants/occupiers have a righto reside for the duration of the tenancy then they may be fined £3000 for each breach. The Secretary of State may instruct the landlord to remove such persons without the need of a court order by way of reasonable force
Labour market enforcement - restriction on illegal migrants to work. A labour market enforcement undertaking (an “LME undertaking”) is an undertaking by the person giving it (the “subject”) to comply with any prohibitions, restrictions and requirements set out in the undertaking
Under section 42 of the County Courts Act 1984 it is possible for the Court to transfer a matter from the County Court to the High Court for enforcement but leave (permission) of the Court is required first. The transfer time varies from court to court and can take up to 28 days, but normally takes far less. An application to seek permission can be made either at the time of making the possession claim or after possession has been ordered.