In the last two decades, multiple ICT evolutions boosted the ability to collect and analyze vast amounts of data (on the order of Zettabytes). Collectively, they paved the way for the so-called data economy, revolutionizing most sectors of our society, including healthcare, transportation, and grids. At the core of this revolution, distributed data-intensive applications compose services operated by multiple parties in the cloud-edge continuum; they process, manage and exchange massive amounts of data at an unprecedented rate. However, data hold little value without adequate data protection. Traditional solutions, which aim to balance data quality and protection, are insufficient to address the peculiarities of the data economy, including trustworthy data sharing and management, composite service support, and multi-party data life cycle. This article analyzes how trust management systems can regain the lead in supporting trustworthy data-intensive applications, discussing current challenges and proposing a roadmap for new-generation trust management systems in the data economy.The data economy is commonly defined as an ecosystem of players collaborating to share digital data as products and services, to create applications that extract value from them. 1 The data economy transforms the design and development of applications, prioritizing data processing, management and sharing. This shift is fostering the emergence of new platforms and environments, such as data marketplaces and data spaces, where data can be pooled and shared to maximize data quality and trustworthiness, and distributed data management systems ensuring guarantees to store, manage versions, and supply data XXXX-XXX © 2024 IEEE Digital Object Identifier 10.1109/XXX.0000.00000001 European Commission, "Communication on Building a European Data Economy", https://ec.europa.eu/newsroom/dae/ document.cfm?doc_id=41205 for complex analytics processes. Data marketplaces 2 are (cloud) platforms where users can engage in selfservice buying and selling of data, ensuring both security and high quality. Data spaces expand upon this concept to define a complete environment where data infrastructures and governance frameworks are integrated to streamline data management. Within these environments, data consumers and providers collaborate to surmount existing legal and technical barriers to data sharing, thereby securely unlocking the full potential of their data. 3 The European Union (EU) is leading the way in this 2 https://joinup.ec.europa.eu/collection/elise-europeanlocation-interoperability-solutions-e-government/glossary/ term/data-marketplace 3 https://internationaldataspaces.org/, https://digitalstrategy.ec.europa.eu/en/library/staff-working-documentdata-spaces Month