Is the husband entitled to change his daughter's name on the pretext that the wife's brother did not fulfill his promise, even though the husband himself affirmed that the naming was to please his wife, and is this act akin to taking back a gift, which is forbidden in Sharia?

Naming the newborn is the father's right, and changing the name is permissible, with no sin in it. The husband's act of naming his daughter to please his wife does not make his recanting of the naming prohibited, like recanting a gift. However, the husband is advised not to change the name as long as it is good; the matter is easy, and it is more befitting to be keen on pleasing his wife and not distressing her without justification.