Many thanks for your patience. First of all you need to check if there is anything in your contract that says you are unable to hold another job whilst employed by the current employer. If there is then you would have been expected to at least ask the employer for their permission to engage in other business activities, even if they had nothing to do with their business.
In terms of bringing the company into disrepute, you are not doing anything illegal and whilst some people may object to what you did outside of work, that is a matter of opinion. If it is clear that this was not in any way linked to your current employment and just a separate business interest then it may be difficult for them to try and justify that this amounts to misconduct, which they can use to discipline you. Also you have now taken steps to resolve this matter so any repercussions from this would be minimised or completely removed. Had you been asked to disassociate yourself from this but you refused and continued to be linked to it though your name and due to it being unique or easy to recognise, then that could have resulted in further action against you. However, you have acted reasonably in taking all reasonable steps to remove any association between your name and these activities so the employer should take this into account when deciding on what to do next.
Finally, your overall rights will depend on your continuous length of service you have with this employer. I understand that you have been working there for 4 months in a secondment position but it is the overall length of service with the main employer that would count so please confirm how long that has been so I can continue advising you.
This is your basic legal position. I have more detailed advice for you in terms of the rights you have based on your length of service, which I wish to discuss so please take a second to leave a positive rating for the service so far (by selecting 3, 4 or 5 stars) and I can continue with that and answer any further questions you may have. Don’t worry, there is no extra cost and leaving a rating will not close the question and we can continue this discussion. Thank you