If you have to look at your feet when you learn a new step, you are still a beginner, keep social dancing. There are many places in most communities to learn social dancing. If you are determined to learn modern dancing NOW, take private lessons, and be prepared to have those lessons continue for more than a year. Dance is often a body contact activity. It's generally unnecessary to explain what this means to women, it's usually men who have body odour problems and need some gentle guidance.
Men are happy to dance with even the worst dancer who is socially active and willing to learn.
Have fun, laugh at your mistakes. Each one will teach you little things that will improve your confidence and your dancing. Don't be afraid to talk to men about the dances and your desire to learn more. In this world of equality between the sexes it's quite normal for women to suggest dancing, although this may be more difficult for a beginner. That's not a serious problem.