Often overlooked, pseudonymisation can be an interesting alternative to anonymisation, especially in the context of speech data. Recognised as a safeguard for the rights and freedoms of data subjects, pseudonymisation can make GDPR compliance considerably easier to achieve. This talk will discuss the advantages of pseudonymisation, its special role for speech data (e.g. according to the European Data Protection Board's guidelines on voice assistants), and its seemingly bright future under the EU Data Governance Act.