Lorella’s question is surely shared by many other women like you.
The progestin-only pill does not seem to have major side effects. On the other hand, in certain conditions (as you may have figured out from several answers), it is more appropriate because it does not induce the classic effects related to the intake of estrogen, and also has a lower cardiovascular risk. In some women, menstrual irregularities of various kinds may appear. Nevertheless, these have no impact on overall health, as your gynecologist will confirm, but in some cases, especially if the woman is not well informed, they can cause discomfort and therefore interruption of the method.