Are you using AxeEdit? If so, you have 4 options.
1.) From the pulldown PRESET menu, choose; CLEAR PRESET and live with a blank (useless) memory location.
2.) From IMPORT; replace it with a duplicate of one you like and edit it to create a unique new sound. OR, Choose an existing preset and pulldown; SAVE TO A NEW PRESET NUMBER>put it in the unwanted location
3.) Either clear the unwanted preset and start from scratch OR, edit the unwanted to sound more agreeable.
4.) Box-up the Axe FX and ship it to me (I want 2 of them!)
It seems to me option 4 is the best, as this solves your problems AND mine.