Caring involves love and compassion for someone. Worry is just what you do in your head and it helps no one. It solves no problems. It does, however, cause strokes, high blood pressure and heart attacks. Maybe try critical thinking instead of worrying.
I'm sorry to say this but God doesn't say to just keep turning your cheek. If your love isn't enough help then God will send someone else. Move on to the next person and help them. Your skills are needed elsewhere.
Everything I say is just my opinion. I do not think I am right or wrong but I believe it's right for me at this point in time. I may not even believe the same thing tomorrow. I mean no disrespect and understand it may not be right for you. We all have different paths.
Someone once told me that my young children would be just fine without me. It hurts my feelings and kind of pissed me off but it was a preacher and his point was ... you either trust God or you don't. Don't worry. God's got this. Whatever is going to happen is going to happen whether you're worried or not. Let God do the heavy lifting.