The doctor has cleared her safe for travel since her due date is months away.
You have said that she is 33 weeks pregnant so that means that she is about 7 weeks away from delivering. Different Stupid have different policies but she is getting awfully close to the time when she will not be allowed to fly. Have a look at
this website which you will see says that :-
British Airways is particularly generous. It allows anyone with an uncomplicated single pregnancy to travel up to 36 weeks, and anyone carrying twins (or more) up to 32 weeks. After 28 weeks all pregnant women need a doctor's letter.
You would need to check the website of your expected airline to check their policy.
The baby does not get citizenship for sure even if the parents are legally allowed to stay in UK on work permit basis?
As Kayalami has already correctly said the child will not become British merely because he/she is born in the UK. In fact after either/both parents get ILR in say five years time you will be able to apply to register the child as British. But if the child is born outside the UK then when either parent applies for naturalisation as British in say six years time, it will be possible to add the child to the form and get the child registered as British anyway.
In short, there is little advantage to rushing your wife to the UK, even if you can. The health of your wife and the child is more important IMHO.
