Ancestry cannot tell you what your relationship to DNA matches is. It can infer a best guess based on the most likely probability if it knows the length of the match between you. For instance, DNA Painter indicates that for a 133 cM match, there is a 50% probability that the relationship could be half 2C, 2C1R, half 1C2R or 1C3R. There are lower probabilities that the relationship could be different, but within the ranges given, they could all be valid for you and your match without supporting evidence.
For instance, I have a match at 122 cM, which is in the same ball park as your 133 cM match. He is actually my second cousin and that relationship is confirmed. But DNA Painter indicates that only about 12% of 122 cM matches will be between 2nd cousins. Nevertheless it is a valid match confirmed by other research, but Ancestry would suggest that we were most likely 2C1R or other relationships based on the highest probability.
Similarly, if Ancestry can match you and your 133 cM to people that can be found in family trees within its database (Thrulines) it can infer a relationship between you that may be a better guess. BUT it is based on the users tree information, so Ancestry still cannot say that it is accurate. It depends how correct (or otherwise) the trees it is using to infer the relationship happen to be - and there are a lot of incorrect trees on Ancestry and elsewhere.
So you really need to start with whatever information you have or can find on your match, and research their and your family trees until you discover a potential link via traditional research. If the suggested relationship is via Ancestry Thrulines, you have a head start if you can view the other users' trees, but with the proviso that you need to carry out your own research on the links that are being suggested, to confirm or disprove them to your satisfaction.
If or when you discover a potential link between you and your match, a tool such as DNA Painter can help you judge whether the suggested link is possible, and to what degree of probability.
In other words, DNA by itself cannot tell you anything other than that you and your match share a certain length of DNA. Tools such as DNA Painter can infer the probabilities of various relationships between two people sharing a given length of DNA, based on relationships at that level which have already been confirmed, but you really need to carry out the traditional research to try and discover your link and confirm whether it is possible, or probable.