Anyone else uncomfortable with PayPal’s payment process?

I’ve been a PayPal user for about 7-10 years attached to the same bank account for me to receive payments. I recently sold an item and my bank account was nowhere to be found. Instead I found a PayPal procedure to attach an account so PayPal could send me my money.
The first question in the process is pretty easy - they wanted me to name the bank I want them to send my money. East Peasy. The next questions gave me pause. PayPal asked for the Name of my bank account and the Password.
Are all you people OK with PayPay having your private bank account name and password?
In the end, I requested PayPay mail me a check (5-10 working days for delivery).