I recently bought some coins from binane but after taking them out from binance to my wallet I didn't receive any email from them.
I had this same issue few weeks ago when I wanted to withdraw my coins after their hack. I had to try two to three times and then once I got the email. I convinced myself saying that it was my email client's fault.
May be you try few more time. Cancel the request and try again.
What I notice is the frozen funds under withdrawal this might be the reason why I can't withdraw and according to them it needs to wait for the blocks to confirm.
Not sure about this frozen fund things. I never experienced that.
Do you think I can withdraw my coins out from them if I wait to blocks to confirm?
You will need to verify the link they will send to your email or they will not broadcast any tx for you. It's a security step you will need to pass.