I'm worried about filler side effects; will it be okay?

Since my under-eyes are deeply sunken, I constantly get told that I look tired, even after getting a good night's sleep. No matter how much concealer I use to cover them up, there is nothing I can do about the physically indented shadows, so I get really depressed every time I look in the mirror.

I'm seriously considering fillers because I heard that even adding just a little volume can dramatically improve your appearance, but the skin under the eyes is the thinnest.

So, I am hesitant to get the courage because I am worried that filler side effects, such as a bluish tint or unevenness, might occur easily.

If I find a skilled doctor and get only a very small amount, would it be safe? My worries just keep piling up—whether it will sag over time, or if anyone has regretted getting under-eye fillers. I really want to look into this thoroughly.