How sound is a second marriage to my ex-wife two days after her first divorce, and was she required to observe an 'iddah?

The marriage arranged by a more distant guardian is not valid if a closer guardian is present, not preventing the marriage, and not absent. The guardians most entitled to marry off a woman are her father, then her grandfather, then her son, then her full brother, then her half-brother (from the father’s side), and then the next closest relative in descending order of proximity. It is permissible for a man to contract a marriage during his waiting period (iddah (definition)) if the iddah is due to him.