He is not HA health minister. He is not a member of HA. But that is a problem morons refuse to understand...that there are many people, in their millions, who may be Shia or not Shia, who are not part of Hezballah in any way but have a positive view of Hezballah. You can dislike or label Hezballah all you want. But you cant change the way people think or the way all people think.
This man was favored by Hezballah to be minister. He doesnt have enmity with HA. He has a positive view of them. But he is not "their minister".
So naturally, he is acting as the health minister of Lebanon by accepting the Pfizer vaccine and not as the health minister of Hezballah. So no contradiction here and no issues at all.