I used Remington's .22 long rifle
ballistics page for the velocities. Most .22 ammo starts out between 1000 and 1500 fps, but the faster rounds are lighter, so they shed velocity faster. An average of about 900 fps seems reasonable. At 900 fps, 200 yards (600 feet) takes 2/3 second (600/900). Remembering beginning Newtonian mechanics, and gravitational acceleration of 32 f/s/s, 1/2 at^2 = 1/2 * 32 * (2/3)^2 = 16 * 4/9 = = 64/9 = 7 feet and a little over an inch drop at 200 yards.
Conclusion: she had to aim round about 4 feet over his head for a gut shot. If the gun was sighted in at 25 yards or less (where the drop is negligible).
The drop at 100 yards is 16 * 1/9 feet = about 21 inches. So if her sights were zeroed at 100 yards, she'd have to aim about 2 feet over his head to get a gut shot.
The lady must know her rifle and be a good judge of distance.
Then again, the article said: "Police say Gertrude Raines shot Charles Davis, 62, with a .22-caliber rifle. Authorities say the rifle did not have a scope." We're all thinking that ".22-caliber rifle" without a scope means ".22 long rifle" with a leaf rear sight. It could also mean ".223 Remington". Maybe she had an AR or, more likely, a Ruger Mini-14. With either of those, hitting a human-size target at 200 yards with metal (aperature) sights is downright easy.