No, it certainly will not interfere with your current medications in any way. This is because, unlike herbs and vitamins, homeopathy is too dilute for it to contain any chemicals that interact with medications. Also, you do not need to stop taking your regular pharmaceutical medications in order to benefit from homeopathic treatment. Pharmaceuticals can be taken along with your homeopathic remedy. There are no drug interactions of any kind between your pharmaceuticals and your homeopathic remedy. Homeopathy does not in any way interfere with the efficacy of pharmaceuticals.
However, pharmaceuticals can reduce the efficacy of homeopathy. This is why we ask you to reduce or stop pharmaceutical medications that are not necessary for your well-being. Of course, if you have a health condition that requires pharmaceutical treatment we would never ask you to discontinue those medications.