A phrase taken from prison vernacular.
One inmate is complaining about a situation; another inmate will say, "shit around it!" referring to having a penis inserted into their anus which must remain even if they need to defecate.
Hence they ought to do so despite the presence of the penis in their anus.
A way of saying, "deal with it."
Inmate 1: "I got a D.R. for lewd behavior just because I grabbed my crotch at a cop and now I won't get my visit next week!"
"I'm gonna throw my shit around" in this context means to throw one's weight or power around, it is typically said right before doing some kind of impressive move or big attack.
"hold on lemme charge up an attack... I'M GONNATHROW MY SHIT AROUND!!"