Q. I am working with sensitive data. Can I be exempted from filing a Data Management Plan (DMP)?
No. You could still fill up a DMP even when your project data is of sensitive nature.
You do not need to disclose any sensitive aspects of your project data when writing a DMP. There is sample texts for the relevant question (Question 4. If your data is sensitive, how will you be managing and using it?) in the NTU DMP template which might give you some idea of what other researchers say in their DMPs in regards to the management of sensitive data.