In my opinion, I think the best first chance for slow development is within the next 24 hours as the southwesterly flow enhances the outflow and as the center slowly begins to consolidate closer to the main convectove mass. Water vapor imagery indicates the process in the start...
Water vapor loop
Convection has likely eroded near the center due to some shear impringing on the interior of the developing system. Dry air intrusion at the lower levels and uppermost levels may be contributing to this, too. As the center slowly begins to consolidate and organize over the next 24 hours, however, we may see an initial dying off of some of the convection, followed by a new burst and organization of the convection around the center. Poleward outflow should also be enhanced by the southwesterly flow, starting around now.
At or just after 24 hours, the biggest shear impacts may impact the system; however, as the trough continues to pull away, I think the shear will slowly begin to taper off a bit after that, allowing for continued development. Numerous systems in the past have shown good examples of this whole process. Because of the synoptics, I think we will see our first tropical depression of the season soon.