Privacy advices needed about remote database connection via VB .net...

I am developing an application in which I need to connect a remote database.

There is no problem about the connection and app is working well. It connects to the database, insert new records or gets records with SELECT etc.....

On the other hand, I am very very new about remote database things.

The problem is about privacy as described below.

I have a domain and it is being hosted by a hosting provider as usual. My hosting provider uses cPanel and they give me a mysql database option.

I have created a database in cPanel (tables, columns, permisions etc) and I can connect to this database with my VB.net app as described above.

As you know, the connection string in my app involves domain name, user name and passwords strings.

When I run my app I can see all those secret information with WhiteShark app installed on my pc.

So, it is very easy to capture domain name, database name, user name, paswoord etc.

The question is that, can I prevent this unprivacy situation if I buy an SSL certificate for my domain which has my database?

Can SSL installed on my domain encrypt my connection string info against WhiteShark like apps?

Thanks in advance...