Market Compliance are generally for Investment Banks. This is an area that can potentially be outsourced.

FCC TM cuts across all banks (IB, PB and Consumer). Some banks have outsourced TM to low cost locations as well, so you have to assess if the TM job may eventually be outsourced as well. It is least likely for the work to be outsourced if it is a smaller firm. Most banks' IB TM are already outsourced. Its largely private banks or certain banks who are hubbing TM in Singapore.

Both work are largely similar because you are performing monitoring, either transactions or trades. Other factors you should consider are
1) Pay: Always go for the job that pays higher if you are inexperienced
2) Bank: Is it a big bank, med-sized or small bank? Is there flexibility for you to learn other areas of compliance or move to other functions of compliance?
3) Research: You need to do some personal research to understand what is covered under Compliance and AML. Figure out what interest you the most, and try to find a job that will help you move in that direction. Don't join Compliance if you think its popular now, or its trendy. With introduction of AI, Compliance will be going through resizing in the next few years. If you are not interested in the work, it is unlikely that you will do well. This means you will eventually be out of the entire system and be replaced by AI.