It's not an enemy, my friend. Qatar has joint gas fields and projects with Iran. It's media is pro-Iran and it helped broker re-approachment between Iran and many other parties in the region.
It's looking increasingly likely the base in Qatar will be targeted, I don't see why their airspace would be cleared otherwise. Iran likely gave Qatar a heads up.
We will see what happens. Iran's effective options here are all risky. US Navy and air refueling planes are the the two factors providing Israel biggest support during their war on Iran. Iran would have to strike those assets to weaken US's defensive posture for Israel and also offensive operations such as refueling their planes to make it possible for such long and sustained fights.