An anemone's "sting" is not nearly as powerful or painful as a jellyfish; at least not the majority of anemones that are commonly kept in home aquariums. (Although I have heard there are certain carpet anemones that can produce a painful rash on human skin, and tube anemones can kill off and eat small fish with ease.)
The "velcro feel" (stickiness) that you mentioned is perfectly normal. That is what helps them catch their food and get it to the mouth parts. In fact, a "sick" anemone often loses that stickiness and becomes unable to feed itself...
There are many other fish, other than clownfish, that can tolerate the "sting" of an anemone; it's not that unusual to have something else hosting in it. People who report that an anemone "ate" or "killed" one of their fish usually had a dead or dying fish to start with; healthy fish do not normally get swallowed up by anemones in a home tank unless they are very small fish and the anemone is very large.
Sounds to me like your anemone is perfectly normal.
