Expelled converts called themselves Muslims, not Moriscos.

Evidence

Perhaps the most frequent designation in modern times—both in Spanish and in English—for these forcible converts has been “Moriscos.” For this volume the title Muslims in Spain, 1500 to 1614, has nevertheless been preferred (to Moriscos in Spain, etc.) for two reasons. In the first place, Muslims (or Muslimes) was what these people actually called themselves within their own community. In the second place, “Moriscos” as we will see, although widely accepted, may give rise to confusion and misconceptions that are best avoided. — L. P. Harvey, Muslims in Spain, 1500 to 1614, 44

Categorization

• QUESTION: What misconceptions does the label ‘Morisco’ carry that ‘Muslim’ avoids? Harvey teases this and presumably answers later in the book — worth chasing.
• DEFINE: Clarifies the term ‘Morisco’ and the self-designation it replaced.