I am visiting hamad from last 6 months for pregnancy. I have my Rp but they will check your wife as visitor. For non qatari residents birth is free and they Will charge only for room. But for visitors charge is 1000qr for normal birth and 5400qr for c section. Plus 100qr room charges per day. Additionally you gave to pay for doctor fees, ultrasound, medicines. If you can apply for her Rp in meantime before delivery it will be good.