No! Definitely do not stop breastfeeding your little one. My little one and I had thrush for a long time and never once stopped nursing ... there is no need to. If it is just white spots in her mouth, are you sure it's not just milk residue? I saw the same thing in my baby when she was little and thought it was thrush, but the doctor told me it was just milk. Can they be scraped off?
If she does indeed have thrush, you will need to get a prescription for both her and you. It is safe for mom and baby to take while continuing to nurse.
Does your baby have any other signs of thrush? Do you? You can read more about it HERE. Also, here are the signs that LLL lists on their site about thrush:
Red Flags for Suspecting Thrush
Chronic pain that won't resolve when new mother is positioning and latching on correctly
Sudden onset of painful nursing for an experienced nursing mother
Hearing the words "burning, itching, shooting, stabbing"
Mother has a vaginal yeast infection
Baby has a bright red diaper rash and/or white cottony patches in his mouth
Nipples are so sore mother cannot tolerate clothes touching them
Signs of Thrush
Nipples and/or areola may appear:
Perfectly normalVaginitis (especially recurrent)
Darker or red on a dark-skinned mother
Red, deep pink or purple-red on a light-skinned mother
White dots on nipple
Very dry, flaking or peeling
Cheesy in the skin folds
Cracked or fissured and don't heal as expected
Mastitis (especially recurrent)
Yeast elsewhere on the body:
Between fingers or toes
Corners of mouth
Nursing a baby with oral thrush
Refuses to nurse
Nurses and pulls off
Gassy (windy) and cranky
Makes clicking sound when nursing
Yeast present in other places on body
Red diaper rash that does not respond to soothing remedies
White patches that do not rub off
Pearly look to saliva
Post back and let us know if anything there sounds familiar. It may be a good idea to visit your pediatrician and have her take a look at your baby's mouth to be certain what you are dealing with.