I have thought on and off about this subject from childhood.
It has become a favourite of mine. Its a good subject Suzy.
An alien civilization being advanced enough to travel at warp speeds would view us as we view ants. Let sleeping dogs lie. Disturb an ant nest and its trouble. The ants are not a problem if they are left alone and because of the distance.
To advanced aliens we are not important. Insignificant. They would not even mention our existence in conversation. Its like when you leave the room and believe the others are going to talk about you. They don't
To attack us for a food source? That is primitive thinking. Give that some thought.
To study us? When studying any colony its best to do it with minimum disruption. If at all possible; No disruption to the lifestyle of the colony.
For sport? To kill off a colony? Think again. Humans are growing more towards encouraging the survival of other life species. Killing as a sport is becoming undesirable and frowned upon. I can not see advanced civilizations condoning such practice.
The possibility of detecting intelligent aliens will always remain. However highly improbable for a long time to come. So to keep your paranoia in check simply remind yourself that you or we are not important to "Them" LOL
On rare occasions when I worried about some issue, my daughter used to say, "Build a bridge Dad". (Build a bridge?) What did she mean by that. "Get over it"
Ahh, the penny dropped.
Intelligent invading aliens? Its not gonna' happen. Build a bridge
Cheers