Actually, IM as a whole is more competitive than EM. Just look at the applicants: IM applicants on average have higher step 1 scores, higher step 2 scores, more research experiences, more abstracts/posters/papers, and higher percentage of AOA than EM... And this includes all those crap-tastic community programs in IM. It tends to be a mantra that IM is exceptionally non-competitive but it has higher step 1 scores than anesthesia, EM, child neuro, neuro, OBGYN, and is within 1 point of general surgery.
As to the OP's question, EM and trauma are very different. Realize the time committment for trauma both in training and out are much, much higher than EM. Quite frankly the lifestyle for trauma traditionally has been terrible, although improving as some places go to shifts. You are truly the boss and truly a master of your domain but sometimes that domain involves taking care of the city's scum. Unlike EM, you spend a large portion of your time in the OR.
EM tends to be shift work where you only work ~12-20 shifts per month, although each shift can be a major drain. You are a jack of all trades but a master of none and are often treated as such. The pay for EM is reasonable but there also tends to be a lot of burnout in EM because of the population they treat and the BS they have to deal with each day. While it does have procedures, the main proportion of your time is not spent doing procedures. Neither EM nor trauma has longstanding relation with patients (i guess except the frequent fliers who tend to be more of a PIA than not)
You however have plenty of time, and were I to bet, I'd bet you don't even end up in either of these specialties.