As long as the filler used was a Hyaluronic Acid based dermal filler, the enzyme should succeed at dissolving it.
If the filler is PLLA (eg. Sculptra, Aspella) or Calcium Hydroxyapatite (eg. Radiesse) based, the enzyme will not work and dissolution will be unsuccessful. However, the overwhelming majority of dermal filler procedures in the UK are carried out using Hyaluronic Acid based dermal fillers.
It's always good if you can check which filler was used with the previous practice you had the dermal filler administered by.