In this talk I will introduce the concept of flavoured Dark Matter using the example of a lepton-flavoured complex scalar dark triplet that couples to the Standard Model leptons via a fermionic mediator. I will review the constraints on the parameters of the model coming from the Dark Matter relic abundance, direct and indirect detection, LHC searches, and charged lepton flavour violation. I will then discuss how the model can be linked to the observed tension in the anomalous magnetic moment of the muon.