I think there is confusion about empathy. I always felt situations deeply. If a neighbour was ill, I would stay awake crying. But I wouldn't visit them, I couldn't engage that faculty until recently.
Some people define empathy as reaction. They accused me of lack of empathy because I acted cool and understated.
But, when I was gormless, and initiative in my duties was too intense for me, my low performance was thoughtlessness, which genuinely was unempathetic (as undiagnosed, I didn't know how to negotiate).
Thus, intensity is the issue, together with initiative taking. Donna Williams helped me to see these issues.
Additionally, when younger I was ignorant of some emotional issues most people had become aware of. (Probably relating to intensity in learning about delicate subjects.)
Nowadays I use rational method to explore situations and calculate my responses (which are still sparing).
So, rational and methodical can help empathy.
And, now that I know that I can do it, intuition leads my reason to the steps towards the answer, quicker and in more relaxed fashion than before.