Bruce, sounds like it should be ok, as far a connection to the panel. A couple of points however. According to '96 NEC (check which version your area uses), the bathroom and laundry circuits must be dedicated 20A. circuits i.e. no other outlets, including lights (Ref. sections 210-52(d), 220-4(c)). Second, the laundry circuit doesn't need a GFCI, (ref. section 210-8(a)(2) Exceptions 1 & 2.) and in fact may cause nuisance trips if connected to one.