You being strong in DSA, explicitly means that you have good critical thinking towards problem optimisation and solving capacity and also you may be good at scaling based on the problem constraints.

Data science basically deals with high mathematical calculations, but you can cope up as you are good at DSA, on other side of coin, web development totally deals with the requirement carried with constraints. Also this you can handle easily, but technology requirement changes day by day for web development. Where as it takes months to be strong at data science.

If you want to dive now itself into web dev, learn one boom technology and move on, otherwise learn datascience with patience.

Both have good demand in market what I think.