Yes, it is alright to take Covid-19 vaccine along with anti-anxiety medication. To be sure you can consult the doctor who prescribed you this medication.
Also, Counselling/Psychotherapy works better in dealing with anxiety and treating it from the root. Consider it as an option.
Next Steps
Consult your Doctor and then a Psychologist for Counselling
Health Tips
To Seek my Services Online you can Google me or visit my Website (https://gunjanmaithil.wixsite.com/therapy)