"Discomfort" is a better term than pain. Sometimes it's pressure, sometimes a burning sensation, sometimes throat tightness.
Thing is, the heart is near a plexus of nerves and that can account for some weirdly "unheart-like" sensations.
Perhaps the twisty tightness that you feel from a walk round the shops would be much closer to pain if you tried to run up a long hill...perhaps pursued by an angry dog.
Anxiety and fear can definitely bring on angina especially when combined with effort.
(Keep up the weight loss and gradually increase your exercise.)