Some problems about the wordpress website

Hi, guys
Recently, I encountered some problems with the WordPress website. I bought a hosting plan on Hostgator and a domain on Godaddy. I changed the name server from Godaddy to Hostgator. But I can not understand; when I published the website, I entered my domain name on Google, it showed the domain information from Godaddy.
Also, I installed the SSL, but the page showed no SSL certificate.
Did you encounter these problems?
How should I do now?
Thanks in advance

The most common reason your site isn't loading is that your DNS records aren't pointing to your host, or you've updated your nameservers but they haven't yet been transferred over. To begin, ensure that your nameservers are pointing to your new host. Second, make certain that your domain name has not expired.

About the website not coming up and ns issues you can start a support ticket via Hostgator, they will fix it for you.
About SSL, it will work once your NS are set properly and you'll install WordPress while setting your domain as "https://" and ofcourse create symbolic link in your web hosting panel, that is if you set it correctly including your public and private keys.

OP, have you managed to fix nameservers issue?