The thing is If you really care about privacy then you can use a non custodial wallet like Electrum but that doesn't still guarantee your coin is still safe
Using a non-custodial wallet does not give you privacy, what it gives you is control of your coins. If you are concerned about privacy, you will have to use a full node wallet like bitcoin core, or run your own node and connect your SPV wallet to it.
Now I only use Trustwallet to store Bitcoin I have. Am I in the right type of wallet to store my Bitcoin?
No you are not, the right type of wallet is one that is open source and non-custodial, it should also be offline depending on the amount of bitcoin in your portfolio.