A modern aircraft carrier is considered to be basically unsinkable, there has been numerous studies of attempts to sink retired aircraft carriers with bombs, missiles and cruise missiles and those studies have shown the level of sustained attacks required to achieve that, are not achievable within the context of a carrier group.
Summary and Key Points: U.S. Navy aircraft carriers, particularly the Nimitz-class, are enormous vessels designed for resilience and power projection. With a flight deck the size of four football fields, these carriers host a Carrier Air Wing and are protected by a Carrier Strike Group of...
nationalinterest.org
Iran has no ability to sink an aircraft carrier. Period. It may have the ability to degrade its operations at best if it lands something.
Why weren't the Houthis afraid of having a nuclear bomb dropped on them when they were attacking aircraft carriers in the Red Sea?
They were not holding back at all to the point where some jets fell off the aircraft carrier. Was the fear of a nuclear attack more, or less real for the Houthis ?
This is a war, and casualties are part of war and I do not for one moment think there is a risk of nuclear bomb in retaliation for sinking a warship.
It is the held belief within the Iranian Forces, that if they keep American casualties low, then there is an easier exit route that the Americans can take to bring hostilities to an end without the need to "avenge" and "revenge" casualties of any scale. That is the barrier to American casualties in the Iranian.
(imho of course).