I think the framing of the question contains very common and problematic ideas about strong emotions and expressing them.
Expressing strong emotions is healthy and natural. Suppressing them is toxic. Shaming them is even more toxic.
There is no correct amount of justification before an emotion is valid. Emotions just are, and the thing to do with them is express them fully.
The way you express emotions may want some consideration, because there can be problematic ideas about them that can lead to unfortunate behavior. For example, outbursts that get directed at people in negative ways, rather than just expressing the emotion itself. But crying is fine.
Ideas that emotions need to have justifications and that expressing emotion without enough justification is silly, bad, embarrassing or abnormal, is a common toxic social problem.
Judging people by their conformity to notions of “normality” or not is another too-common toxic shaming pattern.
But yes, it’s normal and healthy.
However, I would say with some confidence that one reason you may be having more emotional reactions than you might expect would be that you live with people (including yourself) who have toxic shaming ideas about expressing emotion, which causes you to repress emotions, so that when you do have an emotion, it’s stronger because you have so many unexpressed emotions because of those toxic shame patterns causing you both to repress emotions, and to have emotions because you’re being repressed, judged and shamed by those ideas.