According to the vaccine factsheet, the Oxford-Astrazeneca vaccine is said to cause minor reactogenic side-effects, most of which are temporary in nature.
The guidelines present on the Covishield (Indian version of the vaccine) mention that the possible list of side-effects includes pain, warmth, itching, bruising, fatigue, chills, fever, nausea, muscle ache, lumps and malaise.
Severe side-effects such as extremely high temperature (over 102 degrees Farhenheit), coughing, breathing difficulties, nervous problems, anaphylaxis are possible, though rare.
Clinical trials and early inoculation drives also observed the vaccine to cause certain neurological problems, which were later ruled out to be related to the vaccine.
The only people advised to consider skipping the dose are the ones who may have serious allergies to the vaccine ingredients right now.