The measures mean that going forwards, neither 'Halloumi' nor 'Hellim' can be used as names for comparable cheese products that originate from outside of Cyprus. 

Food Labelling Services comments:

Halloumi and Hellim have been approved by the EU for PDO, however, these have not yet been approved by the DEFRA for GB PDO approval. 

As a brief reminder, Geographical Indications (GIs)  protect the names of products that originate from specific regions and possess qualities or a reputation based on this origin, thereby guaranteeing product authenticity. A GI does not belong to any specific business or individual, but rather applies to products that are made in a specific place or using a specific method (or both) by any qualifying producer. GIs are protected in the European Union and UK under a number of ‘quality schemes’ that use quality product registers. The EU GI protection scheme protects registered product names when they are sold in the European Union.

In the EU-UK TCA, no agreement was reached on a mutual scheme for the protection of GIs post-Brexit. However, the TCA does include a review provision for GIs, allowing for discussions to continue. From 1 January 2021 GIs with UK origin protected under the EU scheme as at 31 December 2020 will continue to have effect in the 27 member states of the European Union. GIs with EU origin protected under the EU scheme have been granted equivalent UK protection under the new UK GI scheme. New and pending GI applications under the EU scheme will not have effect in Great Britain, so a separate application will need to be made under the new UK GI scheme, managed by the Department for Environment, Food and Rural Affairs (DEFRA).