I don't quite see how this is Fi, though. Physical feelings of sickness could be caused by a lot of different things which may not even be related to cognitive functions. Whatever the Ti+Fe user thinks is Fi is really just another manifestation of Ti and/or Fe combined with misunderstanding about the nature of functions.
So, for instance, I might believe that theft is wrong because:
1) Fe says theft is unacceptable in my cultural/social/family group, and
2) Ti says it's inconsistent for me to criticize others for being thieves if I'm a thief myself.
And then an Fi/Te user might agree with me that theft is wrong because:
1) Fi says that theft is unacceptable on a personal moral basis because it hurts others unfairly, and
2) Te says that society can't function as a cohesive unit if theft is allowed.
But then you get an Fi user who says, "Well I think theft is wrong, and Jimmy over here agrees with me, so he must also be using Fi." But he might not be--this is based on an erroneous assumption that a particular belief or action always has to be based on the same motivation.
Holding a particular belief or performing a particular action its own does not constitute "use" of any particular function...functions describe reasoning, not the act itself.