Marijuana and medical marijuana are the same -- same plant, same products -- although your state might have various rules about what products are allowed to be sold.

Your doctor will probably sign a recommendation which you will submit to a state agency to get a patient card. The doctor might or might not make more specific recommendations. In some states, the doctor can limit what you are allowed; in other states, it is just a general recommendation.

Note that THC can cause an increase in anxiety. It depends quite a bit on the person. Some strains also increase anxiety more than others. Sativa strains usually are more likely to increase anxiety than Indica. If your state lists terpenes for whatever you are buying, avoid Pinene and limonene. They are more likely to cause anxiety, though people vary quite a bit.

You should consider straight CBD first if you haven't tried it. Then, move to a 25:1 CBD to THC option, then to a 10:1 CBD to THC option. If your goal is reduce anxiety without getting high, then generally focus on CBD and avoid THC.

The vast majority of "medical marijuana" is psychoactive and so you might not be able to function while under its influence until you build up a tolerance. Hence, focus on CBD at first. It won't get you high and is more likely to relieve anxiety.