I can't tell if you're asking for instructions on how to do this yourself, or just whether it can be done.

The orange "wire" is most likely Romex 10 gauge cable with the bare ground and hot and neutral insulated wires inside. Whether one needs to protect wiring inside conduit depends on whether the new wiring will be run entirely inside the new wall or not. And, if it's running outside the wall, you need to use a different type of wire inside the conduit than jacketed cable.

The new wiring you have is for heavier duty circuits, and is not like the rest of the circuits in the basement; in fact, it may be 220V, and that is not something you should be messing with yourself. Also, there are certain requirements that must be met when wiring such circuits or modifying them, and sometimes they must be "dedicated" circuits, which limits what else can be connected to them. It may be better to tap into another circuit to take care of this. Out of concern for your well-being, I have to say that you don't know enough about wiring to do this safely. You can probably get the result you want fairly easily, but I'm not going to provide further details. This needs to be done by a qualified electrician.

Yes I was just curious if it were a big deal. I have no idea wh the orange wire was used. I know it was run from the wall panel, thru rafters, over near the blower and dropped down the wall 2 feet or so with no condiut into a a boc with 4 outlets. I told them I wanted it to power my freezer as well as they humidifier and dehumidifier. I simply decided to box off the blower and such now and that will result in a wall between the outlet and freezer.

I thought this might be a simple diy project but will wait for an electrician...until then I'll leave a section of that wall 'drywall less' so I can still get my freezer cord to the outlet!