Is it appropriate for a recruiter to ask for my date of birth? Am I at risk of losing my chance for an interview because I was reluctant to provide it?

Update: It’s been two weeks, and I’ve been ghosted… I’m feeling mixed emotions, mostly disappointment! 😂😞

For context, this is a recruiter from the EU, where there may be different regulations at play. I had an initial screening call that went really well, and the recruiter seemed very pleasant. However, they later called to ask for my date of birth, stating that it was necessary to complete my application in their system and that they couldn’t proceed without it.

I was hesitant to share this information and even inquired if they needed to know someone’s age for the position, to which they replied it wasn’t a requirement. Eventually, I provided my birth date, but I made it clear that I felt uncomfortable.

My question is: have I jeopardized my chances of getting an interview by expressing hesitation? Did my reluctance make the recruiter doubt my interest? Could my age potentially be a disadvantage in this corporate role?