There is a byte XOR:

XRL A,Rn 
XRL A,direct
XRL A,@Ri
XRL A,#data
XRL direct,A
XRL direct,#data

There's nothing like:

XRL C,bit
JNE C,bit,addr16
XRL bit,bit

or anything alike though.

The solution is either to execute things like

RLC A
ANL A,#1 
XCH A,direct
ANL A,#1
XRL A,direct

or to perform it as (~a AND b) OR (a AND ~b)

JB bit1,L2
JB bit2,TRUE
JMP FALSE
L2:
JB bit2,FALSE
TRUE: