How can I divorce my husband and move out of the state while pregnant?

You do not really have to have the dissolution process complete before the baby is born. Jurisdiction for a Dissolution of Marriage in Oregon is established when the filing party has been a resident of the State of Oregon for six months, but you can file a petition for legal separation after three months and then move to amend the petition after you have been in Oregon for the full six months. On another point, you should put the baby's natural father's name on the birth certificate, if for no other reason than making sure the birth record is true and accurate. If the father never comes to the USA, there is little chance that you can get enforcement of a child support order against him, but if he moves to another state in the USA the Oregon child support agency can get inter-state enforcement. As to whether you can leave your husband without his permission, that would be an issue for the law of the country in which you now live. If you live in a country with Muslim law or a strong Catholic culture, you may have to get his permission to leave (unless you can get out of the country first).