Health risks in Estonia are few, especially for those who will be sticking to the urban areas. Vaccinations against rabies and tick-borne encephalitis are recommended for those who are likely to be at risk i.e. those who plan to go into the wooded areas. There is some incidence of diphtheria, and tuberculosis is on the rise as it is in most places of the world. Take precautions and do not ignore any fever or throat and chest infections. Medical insurance is recommended.
Take along an adequate supply and your medical prescription if you are on scheduled medication.
Estonia has been a member of the World Health Organisation since 1993; a lot of research into the prevention and cure of tuberculosis, non-communicable diseases, nursing, and promotion of primary health care facilities has been done since. The medical facilities in Estonia are adequate though not yet of western European standards because of the lack of equipment rather than lack of expertise.
Incidents of violence against tourists are uncommon. There are some cases of theft, car thieving, mugging and picked pockets and one should exercise basic caution to guard against these.