I see your logic wanting to use the stump for mounting a orchid but Palm tree have a fibrous center and once dead they deteriorate relatively fast. Within a year it will probably will split or bend over in the middle. If you decide to remove it I would just cut it as close to the ground as you can and leave the root ball attached to the mother since she is still recovering.
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"An orchid lover and their money are soon parted"
Dave
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