When Should I See A Gynae

Hi, I'm currently in my 7th week. When I missed my period, I tested with a pregnancy test kit and it showed positive. First time mum so I'm not sure what should I do next. So, I went to the polyclinic and get a referral letter to SGH. However, the appointment date given was 6 weeks later, which by then I would be in my 11th week. Recently, I felt pain in my right abdomen. It's an acute pain and goes away after awhile. Is that normal? Should I wait till the appointment date to consult the doctor? Or go to the private gynae? I heard private is very expensive. Any recommendations? Confused. Thanks for reading.