dedomenaphobia
Based on the structure of the word (with "dedomena" referencing data in Greek and "phobia" meaning fear), irrational fear or aversion to data or data-driven processes. Individuals with dedomenaphobia might experience anxiety when confronted with large sets of information, data analysis, or the technologies associated with data management.
Anmut really helped me get over my dedomenaphobia by helping me understand the value and impact my data has on my organisation, how to make it fit for purpose, and the capabilities I need to stop being afraid of being more data-driven.