If you are birthing in a delivery suite, it is normally routine that the delivery of the placenta (or the 3rd stage of the labour) will be 'actively managed'. This means the woman is given an injection of Syntocinon (a synthetic oxytocin hormone). Some women choose to decline this injection. Syntocinon is aimed at stimulating the woman's uterus to contract more rapidly, to deliver the placenta sooner, as well as minimising the bleeding after the birth.
When Syntocinon is given routinely, it is usually injected into the woman's thigh as the baby's top shoulder emerges. The 3rd stage of labour is covered in depth in Class 7 or you may wish to read
Syntocinon.