Unfortunately, there is no legal basis to avoid deportation if pregnant: the law does not provide an exception to deportation due to being pregnant. It is possible that the authorities or a court will choose to use their discretion to choose to delay or avoid deportation since this is a factor going to "fairness" and health/safety, which they *may*--but are not required to--take consideration of. However, that if voluntary on their part; there is no legal requirement that they take this into account.