Is it permissible for a female employee to marry her married male colleague secretly, only during the day, without her family's knowledge, with the relationship limited to talking and touching, and do what she has heard about 'urfi and misyar marriages apply to her situation?

The forbidden relationship with this man must be severed immediately. If he desires marriage, there is no objection, provided the conditions and pillars of a valid marriage are met, which are: a guardian (wali) and two just witnesses. Marriage by mutual consent without a guardian or witnesses is invalid by scholarly consensus. Marriage is only valid through the legally prescribed manner, meaning an offer from the guardian and acceptance from the groom in the presence of two witnesses. Anything other than this is not considered a marriage, and its effects will not follow. There is no marriage specific to daytime as opposed to nighttime. One must fear Allah and abandon this forbidden relationship, due to the displeasure of Allah it incurs.