If I rollover an inherited IRA to my individual IRA and then took a RMD from my individual IRA, why is turbo tax adding the rollover and RMD as distributions to me?

If you are looking at a summary screen or review screen those show the full amount as income and lump a lot of stuff together. You need to check the actual 1040 form and make sure it's right.

If you rolled it over it should say Rollover to the left of the taxable amount on 4b or 4d.   For 2019 IRA distributions show up on 1040 line 4a and the taxable amount on 4b.  Pensions, 401K and Annuities go on lines 4c & 4d.

anything that comes out is a distribution. whether it is taxed is a different matter.