Hows the idle speed? If she is idling too fast the clutch could be slipping and causing it to be difficult to downshift but upshift will be fine. I had a 200 do that to me once. Also check the clutch adjustment, the screw with a nut on it on the right side of the motor. Get the service manual and follow the instructions for adjusting that. The manuals are available on my website, link is below in my signature.
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1984 Honda ATC200ES "Big Red"
1982 ATC200E "Hondie"
1988 TRX300FW "Project Quad" Still in progress....