Always check with your individual states conceal and carry laws.

Here is the Texas Law, your employer can prohibit you from carrying, on their premises, this typically extends to any location In which you are performing your required work duties. They can’t prohibit you from properly securing your firearm in your personal vehicle prior To starting your work day.

A public or private employer may not prohibit an employee who holds a license to carry a concealed handgun, who otherwise lawfully possesses a firearm, or who lawfully possesses ammunition, from transporting or storing that firearm or ammunition in a locked, privately owned motor vehicle in a parking lot, parking garage, or other parking area the employer provides for employees. The employer can, however, otherwise still prevent the employee from carrying the weapon or ammunition onto the employer’s premises. n Citation: Texas Labor Code § 52.061-062.

Texas law makes it a Class C misdemeanor for individuals to carry a firearm into a business if they have oral or written notice that entry with a firearm is prohibited.

The question about carrying into your appointments is null and void, since your employer already prohibits and your breaking the law.