You need to see the relevant clauses in appointment letter, standing orders, hr manual (assuming given to emoloyees) and terms of employment if any. Some companies have a clause saying management has a right to accept resignation with or without notice, at their choice. If you have a clause to that effect, then you can relieve her and not pay
In any other case, younhave to pay notice period salary even if you do not want her in the office. If you wish to take a humane view and if you consider your reputation in job market (and also you may need to interact with the same person in another company on professional basis) then you must pay for the notice period. She may face financial hardships If she loses 1 months salary. It's not a good idea to have someone leave with a bad idea of your company when it could be avoided.
Likewise, the above arguments do not apply if she was asked to leave for fraud, shoddy work or any matter of dispute that makes it impossible for her to workin the office.
There is a practice of gardening leave in western economies that apply to senior employees. It's a period for which they get paid, can't work for anyone else or join next job, but are not wanted in office (confidentiality issues). At the same time available for anything the company might need. Unfortunately few companies follow that in india