Hi i am a breast feeding mother and work on a part...

We would like to inform you that according to the UAE Labor Law,
Article 31
During the 18 months following her delivery, a female worker nursing her child shall, in addition to any prescribed rest period, be entitled to two additional breaks each day for this purpose, neither of which shall exceed half an hour. These two additional breaks shall be considered as part of the working hours and shall not entail any reduction of wage.
Therefore, you can't leave but you have time to nurse the baby as the above article states.