Is my psychiatrist in the position to demand a blood panel 9? and would the drug appear in urine test or blood test she wrote cbc deff/tsh cmp uds 9

Yes, she can: As a physician like any other, your psychiatrist has responsibilities for monitoring parameters of your health -- like these lab results. It appears she wants to check your basic blood and metabolic panels, plus thyroid stimulating hormone. She has also ordered a urine drug screen (uds). Drugs you're using will show in the latter test.

Lab work: The doctor ordered CBC with differential (which is blood cells count with count of different cell classes) TSH (which is thyroid stimulating hormone) cmp (which is comprehensive metabolic panel) uds 9 (which is urine drug screen 9-drug panel). All those are routine orders and any psychiatrist would need to know the results to properly assess a patient. There is no reason to suspect of your doctor.