Senior Moderator, Moderator: Community Buzz and Ambassador: Miles & More (Lufthansa, Austrian, Swiss, and other partners)
Join Date: Jun 2005
Location: 150km from MAN
Programs: LH SEN** HH Diamond
Posts: 29,526
Welcome to FT, totallystoked!
It sounds like you will be on LH465 connecting to LH1338. 65 mins should be enough for the connection provided the incoming flight is not late. Since there are later flights to BUD, if you miss your connection Lufthansa will put you on one of the later flights as malmostoso already mentioned. Once you start your travel the airline is responsible to take you to your destination regardless of where you bought the ticket.