Answer
Based on official Jordanian legal texts
Compatibility (kafāʾa) in marriage under Jordanian law means the husband's suitability to the wife in recognized qualities. Article 21 of the Personal Status Law requires, for the binding nature of the marriage, that the man be compatible with the woman in religiosity and means; compatibility of means means that the husband is able to provide the prompt dowry and the wife's maintenance.
Article 21 provides that compatibility is a right belonging to the woman and her guardian, observed at the time of the contract; if it ceases afterward, that does not affect the marriage. Article 22 clarifies that if a woman is married to one who is not compatible without consent, or the husband claims compatibility and the contrary appears, the person with the right may seek annulment of the marriage. Article 23 limits this right, which lapses by consent, pregnancy, or the passage of time after learning of the marriage.
Lack of compatibility may therefore give the guardian or wife a right to object within the limits the law sets, rather than voiding the contract automatically.
Assessing whether compatibility exists and whether the right to object stands remains within the Sharia Court's competence on the facts of each case.
This is a general explanation based on Jordanian Personal Status Law and does not replace advice from a qualified lawyer in a specific dispute.