First, congratulations on the beautiful new bike!
Just for future reference in case the bike does get hauled from time to time, it would be worth adding a chock at the front of the trailer.
And, more importantly, the kickstand is not intended to support the bike in this way or take the dynamic loading as the trailer takes the road forces. Most trailers have pretty poor suspensions, and every road bump will be transmitted to the kickstand. Since the bike is secured, every bump will seriously overload the stand, since it is designed to hold the static weight of the bike.
So get a chock, and secure the bike with the kickstand up. Or better still, may the bike never see the floor of a trailer again as long as it lives
.