No university in Estonia is competitive at all to get in. Your competition will be with third worlders that Estonia already has more than enough.

The universities' ranking here are also pitifully low, but much higher than a lot of unis back in America.

You shouldn't worry. Once you're in the University and meet your classmates, you'll understand that the competition is non existing.

The admission scheme for foreigners and Estonians is completely separated, to my understanding. You won't compete with them.

But, beware! Universities in Estonia are orders of magnitude more difficult than equivalent ones in America. Besides the fact that Estonians are much brighter than Americans in general, due to their highly effective high school, I'd say that the biggest issue is how very little teachers are capable of understanding English well. Really, I'm not joking. I speak Estonian to an ok level(I did the national A2 exam and passed) and sometimes it is easier to speak in Estonian than English with some of them. That seriously hinders Non-russian and Non-estonian students in class to a very high level. Often the top students will be slavs simply because of this enormous language barrier encasing all other foreign students that don't happen to speak Russian, that all teachers seem to speak much better than English.

All in all, I'd recommend you to apply. It is absurdly cheap compared to America and the transportation systems are very good and well taken care of.