If you show up and feel like crying, cry, and if don't feel like it, don't cry. I don't think either matters. Therapists are used to people crying. Perhaps that bad experience with your first therapist has made you doubt yourself.

If you are going in there and opening up immediately, it means the issue is right on the surface and bothering you very much. You're glad to have the help, to have someone listen to you. I can imagine it may feel uncomfortable, especially with a stranger on your first visit. But like I said, therapists are used to this.

And my recommendation is that you and someone close to you, check out the person's credentials and so forth, before you go for your first visit. I think crying can make you feel vulnerable and to hear someone disapprove of it or not take you serious or whatever, especially on the first visit and just when you feeling most self conscious, can be even traumatic. So do your homework before you go in there. And don't let one bad experience stop you from going forward. But once you know the therapist is decent, go in there and express your emotions. And good luck.