How to you date a lady who always say she does not trust her guy and neither should the guy also trust her.

You don't.

Without trust, there's no relationship.

If she doesn't trust you - and you have given her no reason not to - then she has issues. If she says you shouldn't trust her than don't.

Do you want to be with someone you can't trust?

That's a toughy... but if it was me, then I'd be probably thinking that she's just not interested in me and just making excuses.

This is a diseaster waiting to happen. Run in the opposite direction!