I think you should walk her inside her house and pick her up. She may not like it but you need to get a good look at what is going on. If I have to examine any of mine I walk them inside and once in there I can grab one if I need to. You can check her eyes close up for any sign of infection or injury. Do you have Terramycin eye ointment? if so put some around the inside of her eyes. If there is something in there maybe rinse with warm saline water to flush out the eyes. She may have something in there that's causing irritation.
She'll get over your catching her and treating her.