First trimester dating scan

My wife is already in the 6th week of her first trimester. We went to the polyclinic to get a referral letter for a follow up at NUH with a obstetrics and gynae doctor there. Called NUH and they said that the earliest date available is on the 12th/13th week. Is the wait to see a doctor at NUH so long for subsidized patients? Doesn’t seem right that the wait for a follow up and a crucial first trimester dating scan is so long. Any advise? Thank you :)