I would advise based on some comments above, contrary to popular belief Computer Science is not a "programming" degree course. You will, of course, learn to code, but understanding the fundamental logic underlying the development of the abstracted programming languages that are used to implement processes on a computer, and how the computer runs those processes from both a mathematical and physical point of view, is more or less the core of it. The programming and various applications are a corollary of that, and not the end goal.
If you want to learn to program but not the rest of that, you don't need a degree at all - anyone can learn to program. You can get a degree in a more applied/development heavy CS/IT course, or something such as Software Engineering which is offered by a few, which focuses more on the code writing and implementation processes than the theory, but Computer Science is not primarily focused on this. They'll teach you to program in first year - they teach you how to be a Computer Scientist in the rest of the degree.
The long and short of the above is, Mathematics is necessary to understand the underlying theory and logic of computing, which as stated is in fact the goal of a CS course. Without Mathematics you heavily limit yourself, but you may find that in light of the above a degree in CS isn't actually specifically what you are looking for. However all that aside, many excellent universities offer CS with Foundation Year courses where you cover the relevant maths and other topics in a preliminary year. But you will cover that maths, at some point - if the course doesn't require A-level Maths, it will develop the necessary mathematical skills in the course, or in a foundation year. There is no escaping that, and if the don't do that...well I would debate whether you can really apply the qualifier of "good" to that course. (however you will probably miss out some topics which may be deemed "less relevant" however I would argue this is to your detriment, rather than benefit, as it makes you less able to engage with more specific programming projects such as scientific computing and informatics relying on calculus and statistics, respectively).