Absolutely. T4trade broker as well as other credible brokers are very serious about the protection of personal info. They usually try to store all the clients' personal data on separate data storage, encrypted with the most secure encryption possible.
I guess it is one of the requirements of the regulation authorities among other things.
So fear not, your personal information at T4trade is under maximum protection, as well as your funds.

The broker is not going to harm your privacy but it's your duty to keep your personal information private.