This treatment is being suggested on bases of the information provided. However I would like to examine & investigate you  in detail. -Control  Hypertension, Diabetes or  metabolic disorder, if there is any. --. Sleep on a hard bed with soft bedding. --. Keep no pillow under the head. --. Avoid painful acts & activities. --. Fomentation with warm water. Let the part not be exposed to cold. -- .Do mild exercises for the affected part.- neck and shoulders and hands. --.(Take help of physiotherapist or you can visit my YouTube channel Dr. N. C. Gupta and watch 'Me & My Yoga' and 'Yoga Simplified'. https://youtube.com/channel/UCPEQc6B1ywzwin048JSu6rw --Do not ignore, let it not become beginning of a major problem. -Any way it may be tried, --. Ugesic (Piroxicam) 20mg 1 tab od x 5days --. Caldikind plus  (Mankind) 1 tab OD x 10 days. -(You may need help of your local doctor to get these medicines.) --Do ask for a detailed treatment plan. Kindly make sure, there is no allergy to any of these medicines. --For emergency treatment visit nearest hospital. --Wish you a quick recovery & good health.  Dr N C Gupta MS (ortho)

Will require more history regarding the finger, whether there was any injury to the finger a few days/weeks back, whether the pain is more when there's movement or even during rest, whether there is any discoloration, whether the pain is sudden in onset or gradually progressive etc. So, a thorough examination is required to come to a diagnosis.