It is no longer a stigma. But, in certain situations, it is still hard to find a partner. Your life style may be such that you don't meet many potential partners. You may need to change your social habits, e.g. go to church, classes, clubs, political or volunteer activities, bars, etc. to meet more or different people. Friends and family will offer introductions if asked.
Most newspapers have personal ads.
Because there are so many singles with specific interests, the modern specialized dating clubs and services have mushroomed. For instance, there are singles' clubs to serve various kinds of professionals, music lovers, book lovers, vegetarians, overweight persons, divorced Catholics, older women interested in younger men, etc. If you can't find the right club for you, start your own by advertising in the paper. There are even travel services that will match up singles. Don't think you are helpless, reach out.