Simple answer - no.
Bees do not have a brain sophisticated enough to understand compassion, much less sense it.
The bigger problem here is with the inherently pattern-seeking and biased human brain, which leads people to see system and intent
in events where non really exists, which leads to misunderstanding of natural phenomenon like these.
Point in case - go through this list
http://en.wikipedia.org/wiki/List_of_cognitive_biases and consider your world-view, everyday experiences,
opinions etc. and see how many of them cannot be chalked up as partially, or significantly, the result of one or several of these biases
playing tricks on your perceptions and your mind.
Chances are these bees would swarm on you no matter how you were feeling, and most of the time, unless a very aggressive brand
of bees, would leave you alone.
Or maybe they didn't sense a physical odor but a burst of (positive) energy?
I don't think it's been proved scientifically, but some people claim to be able to send energy through emotions, like anger or love.
The only thing I can vouch for is the energy you send when practicing martial arts. I still remember years later what I felt when I assisted a training of kendo (japanese sword art). The sensei had so much power coming from him it was almost physical, even though he was some 20 meters away.
So maybe bees can feel more intangible elements around them?
Aren't dogs and cats known to come to their masters when they feel down too?
The "energy" you send in martial art, is a combination of experiences, non-verbal communication, and again, human biases.
The reason a human is sensitive to the "energy" of another person in the context of martial arts, is because
1.) You already have some impression of your own physical situation in comparison to the person you're facing, which impacts
both your conscious and sub-/unconscious mind and mental prospects at facing off against that person in a violent or potentially violent encounter.
2.) You're consciously and/or sub-consciously aware that the body-language of the person you're facing indicates confidence,
skill, strength, intent to attack etc etc.
If I had prepared a room for the two of us, where we were scheduled to have lunch - then made it pitch-black, and put your Sensei in
a corner of the room, with his Shinai in hand and everything, chances are, depending on the degree of my deception,
that you wouldn't notice anything at all.
This is because there is no magical energy travelling between the two of you - only visual and auditory cues interpeted by
your brain through past-experiences and natural responses.
If I rob you of those cues, I also rob you of your preception of the so-called "energy".
@cabfe: maybe bees are empathic? I think alot, if not all social animals are empathic
@warpmind: when we had them before, we had a beekeeper come.and get them out. Which all of them have been robust hives. Its also niot surprising sense we dont spray our yard and have wildflowers, a garden, and lavender plants planted around the property
No, most if not all animals are not empathetic. They might on occasion be sympathetic, but not empathetic.
Empathy is the ability to put your self in other people's shoes, and understand their frame of mind,
which requires a very high level of cognition on the level of the brain - it does not mean whether or not you feel sorry for someone
or something to that effect, which would be "sympathy".
Case in point, criminal psychopaths usually display extremely high levels of empathy, with little to no sympathy,
which is why they're often seen by most people as being socially adept, easy to communicate with etc.
After all, to truly be able to understand another person's point of view you need to emotionally detach yourself, lest your judgement
get clouded by your own emotions.
Problem of course, is that being emotionally detached, also means being emotionally detached from feelings like sympathy.
Some animals do feel sympathy - but then again, the animals that exhibit some levels of sympathy have vastly more complex brains than bees,
and it is therefore, even without looking at science pertaining to "bee brains", almost entirely certain that bees do not feel sympathy.