Caring

"You're too caring."
Almost every single person I've come in contact with has said that to me.
Is it a bad thing to be "too caring"?
Is it a bad thing to care about your family, coworkers, customers, old school teachers, parents of friends that are no longer in my life, the people that have screwed me over, and even the older man that wouldn't let me help him with his groceries? 
I believe maybe it's not me caring too much, maybe it's other people not caring enough.
I know I care deeply, but me caring so much makes up for others not caring enough.
My heart sometimes feels like it's not big enough for all my feelings.
I care for people that I don't know, random customers, if they need to rant I let them.
You never know what people are going through.
Me being the caring person I am, I spread kindness to strangers and sometimes don't get any in return, but I know I was as kind as I could be.
One customer ranted about how bad her day was and cried and admitted that she caught he husband cheating and didn't know what to do, I offered a hug and some kind words along the lines of "Ma'am you're a very nice and pretty woman but if he doesn't treat you right, he doesn't deserve you." 
I remember I had some of her mascara on my white shirt at the end of my shift.
I still think about that woman, and hope things are going well for her.
I still care for a stranger I met around 4 months ago and talked to for around 15 minutes. 
I care about people who don't care about me, who will never care about me.
It's what I do.
I care.
I care deeply.
I care too much.