Legal Aid usually gives priority to urgent matters, so if it determines that your matter is urgent having regard to:
the child's safety or welfare
immediate risk of removal of a child from Australia or to a remote geographic region within Australia
a need to preserve matrimonial property, or
other exceptional circumstances exist that require urgent legal assistance,
Then your matter will be attended to as a matter priority.
However if for example your legal aid is held up such as in the case where you have to appeal to the Legal Aid Review Committee, you can apply for an adjournment of the proceedings pending the hearing of the appeal. There are certain circumstances in which the court or tribunal is required to adjourn (or hold) the proceedings. I would speak to legal aid about getting an adjournment so that the orders are not made before you have been able to obtain representation.