DON'T GIVE UP PLEASE!! I had a feral cat about 25 years ago and he approached me too (it was below freezing outside at the time and he would have froze to death if I hadn't taken him in). He was very misunderstood by my husband and I for the first couple of years because we didn't know what to expect. He was so bad during adolescents (before we got him fixed) that nobody could even make eye contact with him for very long or he would charge at your face with his claws out!! We were literally scared as hell of him, also because he got extremely big! Long story short, after reading up every book I could get my hands on about feral cats and after many stressed out visits to my veterinarian, we finally got used to each other and the more we calmed down, the more he seemed to calm down. Also, after I had my first daughter, he bonded with her and became very protective of her and he never was aggressive towards her EVER, we were were shocked. As he got older, he developed diabetes and believe it or not he allowed me to give him insulin shots twice a day! Please don't give up and definitely DO NOT give him to a shelter because he will never get adopted out because of the way he is, so he will be euthanized fairly quickly. I know it's hard as hell and extremely stressful to deal with everyday but try to remain optimistic for now. If you read a little bit about why feral cats act the way they do, you will develop a huge understanding of all you need to know, trust me. My feral friend lived a long, happy life and I still miss him everyday and so does my daughter.

Don't give up, please! I had a feral cat about 25 years ago and he approached me too (it was below freezing outside at the time and he would have frozen to death if I hadn't taken him in). He was very misunderstood by my husband and I for the first couple of years because we didn't know what to expect. He was so bad during adolescence (before we got him fixed) that nobody could even make eye contact with him for very long or he would charge at your face with his claws out!! We were literally scared as hell of him, also because he got extremely big! Long story short, after reading every book I could get my hands on about feral cats and after many stressed-out visits to my veterinarian, we finally got used to each other and the more we calmed down, the more he seemed to calm down. 

Also, after I had my first daughter, he bonded with her and became very protective of her and he never was aggressive towards her ever, we were shocked. As he got older, he developed diabetes, and believe it or not he allowed me to give him insulin shots twice a day! 

Please don't give up and definitely do not give him to a shelter because he will never get adopted out because of the way he is, so he will be euthanized fairly quickly. I know it's hard as hell and extremely stressful to deal with every day but try to remain optimistic for now. If you read a little bit about why feral cats act the way they do, you will develop a huge understanding of all you need to know, trust me. My feral friend lived a long, happy life and I still miss him every day and so does my daughter.