Should I rush to private or wait for my local hospital appointment?

Hi. I’m currently at week 7. This is my first time. I’m getting anxiety and worried if my pregnancy is ok as I’ve not been to the gynae yet. My appointment is set in July and by then I would be 14 weeks. Should I just go to private to scan first and see if baby is ok? Just afraid it’s too early or is it too late? Or I should wait for the appointment in July. All these worrying makes me so tired.