You are not alone. My wife loves the walking and hawking part, but doesn't like the part where the hawks catch their food and get to eat. Same thing that keeps many people from wanting to have a pet snake, even though they all eat frozen/thawed prey items now.
I understand that people feel that way, but it saddens me that so many people can't deal with reality and are so far removed from the natural world. Predators predate. Prey species get eaten. Its the way of the world. I'm comfortable with it and fascinated by it. Getting to see it first hand, up close is a privilege I don't take lightly.
While I understand that people feel that way, I have a hard time understanding why or relating to that. People realize that predators need to eat, but they seem to have an emotional connection to the animal being eaten. I ask people how they would feel if they saw the poor hawk/snake/lion and their babies slowly, painfully dying of starvation because they couldn't catch their prey? Many people see my point, but a surprising number of people remark that they would be fine with the predator starving because they don't like whatever animal it is, or some other equally silly reason. Then I ask them how they'd feel about being up to their elbows in rats and mice, because that is literally what would happen within a few months with no predators.
Anyhow, enough of my philosophical tangent. Many days they don't catch anything, and you are welcome to walk away and go back to the car if they do, which is what my wife does. Watching them try and miss is sometimes the best part of the show. It really makes you appreciate how awesome and capable the prey species is. The invitation is there, but hunting season is just about over. I'll get a few more days in this week and maybe next week depending on how it all goes. You have an open invitation.
