I get that type of screen sometimes when I buy items from an online store. I do not like to fill those info boxes. So I do not use my debit card and use my PayPal account instead of the card, for those sites that those types of info screens pop up.
It is not that I am "afraid" of giving out more info, but I just do not like to deal with that extra step. Yes, it was created to help protect your transactions, but sometimes I wonder if a SPAM "coder" could hack into one of the stores and create their own pop-up card info, then use your card for something else. So only fill out this screen for MAJOR online stores that you feel secure enough to do so.
Since PayPal is a better way for online transactions, safer for me and will help get my money back from orders that are not delivered, I tend to use it for most sites. Amazon.com does not use PayPal for some reason, but it is one of the few exceptions to my PayPal use rule.
LibreOffice uses PayPal as one of the payment options, so I use that when I donate money to "the cause".