Small red or white bumps after bikini waxing are commonly due to skin irritation or inflammation of the hair follicles (folliculitis).
Next Steps
Since there is no itching, you can initially keep the area clean and dry, avoid tight clothing and further waxing/shaving until it settles, and avoid squeezing the bumps.
Health Tips
You may use a gentle, fragrance-free moisturizer or soothing gel such as aloe vera. If the bumps become painful, develop increasing redness/swelling, contain pus, or do not improve within a few days, please consult a doctor for an examination and appropriate treatment.