What helps me is applying something relatively sterile to fill the gap and stop the constant infection (I use burt's bees basic chap stick)
Hello,
As you are having the symptoms of inflammation around the nail and cuticle, so the possibility of paronychia has to be ruled out. It results from a breakdown of the protective barrier between the nail and the nail fold.
Treatment includes warm water soaks of the affected finger 3-4 times per day,oral antibiotics, topical antifungals and surgical intervention in more severe cases. My sincere advice would be to consult a dermatologist.
I hope it helps. Take care and please do keep us posted on how you are doing. Kind regards.