Some states allow you to receive temporary alimony while the case is pending in court, however, you cannot receive alimony after the annulment has been granted by the court.
This is because an annulment declares your marriage to be “void” and erases it as if it never existed under the law. Spousal support cannot be awarded if no valid marriage existed.
If you believe you will need spousal support, you may prefer to file for divorce or legal separation, rather than an annulment, as alimony may be awarded in these cases.
Also see: How Is Property Divided In an Annulment?