The Time between Adhan and Iqamah
In the name of Allah, We praise Him, seek His help and ask for His forgiveness. Whoever Allah guides none can misguide, and whoever He allows to fall astray, none can guide them aright.
There should be enough time between the adhan and iqamah for people to perform wudu’ (ablution), come to the mosque and offer the regular recommended Sunnah prayers before the obligatory one.
Sheikh Sayyid Sabiq (may Allah have mercy on him) said, “There should be enough time between the adhan and iqamah for people to prepare for the prayer and come to the mosque, because the adhan was prescribed for that purpose. Otherwise its benefit is lost.” (Fiqh As-Sunnah)
If the congregation of the mosque agrees that the iqamah for prayer should be given at a certain time, or that is done at the direction of a hospital due to medical cases, there is nothing wrong with that.
To know more about the time between adhan and iqamah, watch this interesting talk with Dr. Muhammad Salah.
Source: Huda Youtube Channel.