Well your Largest concerns are really diet and Amount more then Type to start.
If well fed and not running for HOURS then really you dont have To much to worry about. Now if you are doing endurance type stuff then sure the body just wont want to carry that extra muscle and will fight it. Ity doesnt feel its needed for the task you are asking it to do. It wants you lighter and muscle weighs a LOT if you are running for mile upon mile.
Then there are types of cardio that are more anabolic in nature like HIIT, sprinting etc. Look at the physique of a sprinter and look at that of a marathoin runner. Enough said
Now if on a restricted diet then its touchier. You are in a not well fed state low on fuel etc. You push that cardio up and out of the Low slow fat bruning zone 60% or so max (rough estimate) and start making that muscle tap ionto the limited glycogen (faster) fuel It burns those limitied resevrevs FAST and then has to create more, how by making it from protein, your not fed it uses that muscle, that muscle it Doesnt feel it needs to LIVE to RUN.
That is EXTREMELY simple/quick version. Do yourself a favor and read up more.
There is a recent article on cardio with many of the contribs and try these oldie but goodies for a great over view as well.
Cardio Roundatble I&II
Hope that helps,