The right to get your data deleted is also known as the ‘right to erasure’. You can ask an organisation that holds data about you to delete that data. In some circumstances, they must then do so. You may sometimes hear this called the ‘right to be forgotten’.
The organisation should delete your data unless an exemption in data protection law applies.
They should also tell anyone else they have shared your data with about the erasure. They can only refuse to do this if it would be impossible or involve a disproportionate effort. They must also tell you that they have shared your data with other organisations if you ask.
If your data has been made public online – such as on social networks, forums or websites – then the organisation must take reasonable steps to inform the people with responsibility for these sites to erase links or copies of that data.