As you indicate, it's almost always best to view things philosophically. From that perspective, I'd say that the wisest approach is to view things stoically – that is, not to deny the emotions, but to act without emotion or even beyond emotion.
If we do not strive to view a "fearful" situation wisely or stoically, we will most likely be (as the saying goes) overcome by it. And once we're overcome by fear, we are vulnerable to it and will most likely be defeated by it.
...
On a related point, many mystics and philosophers say that our emotions can essentially be categorized as either LOVE or FEAR (at least, in their extreme polarities).
If we act or react from based on our fear, we are acting from a position of vulnerability, and essentially becoming a victim.
On the other hand, if we act or react based on our love, we can maintain control of ourselves, and possibly of the entire situation.
Fear Not.
Good point @majes.tytyty.
Now it is very difficult to adopt that position, I think there are many factors that act individually but if infused, in many cases comes from our upbringing, or rather from how our parents raise us from small.
To be able to adoctar this situation you would have to be very mature, at an early age.
already being stoically adult is possible.
A virtual hug for you.
Certainly, it can be very difficult to adopt such a stance. But, it's not impossible.
As humans, we respond and learn and continue to adapt to all sorts of circumstances, both new and continuing circumstances. That's the way we grow and evolve.
So, if one finds it difficult to be transcend one's emotions, to overcome one's fear, or to be stoic in the face of adversity, that's just a sign that s/he is still growing and evolving.
And hopefully, it will motivate the person to grow and evolve consciously.