My cat has some weird moisture coming out of its body.

My cat has moisture coming out of its body. The consistency and color are like normal water—clear and liquid. It is odorless. I am attaching a photo of a literal droplet on her fur and some photos of stained sheets left by her. It is definitely not licking marks, as the fur never looks wet. This symptom has been observed for several years (about three). Sometimes (rarely) the cat seems nervous and may go to the toilet outside the litter box. Breed: stray + Scottish Fold. Age: 7 years. I feed her Craftia Gastrointestinal food on the recommendation of the vet because of complaints of vomiting. Often there were whole undigested pieces of food in it. The vomiting has not completely stopped, but has become much less frequent. Her kidneys have been checked and seem to be fine. She is spayed and weighs 4.5 kg. Please help, I am stressing out.

Hello and thankyou for this fascinating question.  Cats do indeed have the capacity to sweat, but this would be commonly observed through their paw-pads and when they are hot, not on the neck-hair.  I would be concerned about other factors, include high blood pressure or abnormalities in connection with hormones, or with Sodium / Potassium balance.   Furthermore, despite historical misconceptions, vomiting in cats is never normal; although some cats do it regularly, there is often some underlying pathological cause.   A vet visit is definitely in order; they may ask to run tests for Cushings, or in a shortage of ideas about the fluid, they may be able to contact veterinary pathologist for suggestions of causes to look for with this unusual symptom.