Hello “More Luck”,
Sorry that you were not so lucky doing the wheel pose (chakrasana, urdhva dhanurasana, upward bow). That is the pose I think you are referring to, although I am not familiar with the series by Annalisa Cunningham. Is this really the pose we are talking about?
Please take it easy for a day or two, or even 4 - 6 weeks, depending on the severity of your injury. This is the sensible thing to do, both from a yoga and a western point of view. Yoga implies non-harming - to feel no pain in an asana. Western medicine would have you do the RICE protocol, where R stands for rest. Your muscle is asking for some recovery time. Your muscle will tell you when it wants to get back into action (or when it wants to see a doctor).
It does not mean that you cannot do yogasana. You can do poses that do not stress your shoulder. Many of the poses that would stress your shoulder can be modified so that they don’t.
Reflecting further on your question, I feel somewhat uncomfortable with it. For example, if you are doing this advanced wheel pose, you would have been able to answer the question by yourself. And if you do yogasana for ibs, then I am surprised that wheel pose would be part of your routine. It is a “heating” pose, whereas you might want to calm down inflammation. In fact, it would be possible to taylor a routine specifically for ibs. Maybe this is just “my” problem, or we are talking about a different pose. On the other hand, you may want to explore these issues, either on this forum or with an experienced yoga teacher.
I’m wishing you a speedy recovery.