What is the ruling on the prayer and the sermon if the sermon was interrupted due to external factors, and then the prayer was performed immediately thereafter?

A slight pause between the parts of the sermon, or between the two sermons, or between the two sermons and the prayer, does not invalidate it; this is because continuity is a condition for the validity of the sermon, and, according to the more correct opinion, for the validity of the sermon and the prayer. Likewise, shortening the sermon and omitting some of what the preacher intended to say does not harm it, provided that it has fulfilled its conditions and pillars.