Flight of the TARDIS

Normal Sudoku Rules apply, place the digits 1-9 in each row, column, and box. The TARDIS needs to fly from the blue square to the other blue square through an orthogonally connected loop that does not touch itself even diagonally. Digits on this path have negative values for all clues AND are only odd digits. Killer Cages: digits in each cage add up to the total in the corner. Thermometers: digits along a thermometer strictly increase OR decrease in value.