Meditation can be a good practice to maintain a baseline of mindfulness and calm over time, but on its own may not be the antidote many people are looking for. Breathing exercises are a more direct and rapid approach. There are a lot of different breathing exercises out there, but the simplest is to do a deep breath followed by a cleansing exhale--the exhale should last twice as long as the inhale. This resets the vagus nerve and calms the amygdala (the brain area that initiates the 'fight or flight' panic response). People also get rapid results with EFT tapping and havening. There are a lot of neuroscience-based exercises that many hypnotists teach their clients. If you are not getting the results you want from meditation alone, I suggest working with someone who specializes in anxiety.