Player of the Week: Sen. Kirsten Gillibrand (D-N.Y.)

This is an important week for Sen. Kirsten GillibrandKirsten Elizabeth GillibrandThe Hill's Morning Report: Trump walks back from 'send her back' chants Biden, Harris set for second Democratic debate showdown Rand Paul accuses Jon Stewart of being 'part of left-wing mob' after criticism over 9/11 victim fund MORE (D-N.Y.) and her legislative effort to reduce sexual assault in the military.

Since unveiling her bill in May, Gillibrand has been building up support for her legislation that would remove sexual assault cases from the military chain of command.

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She has attracted 47 backers in the Senate, but that’s not enough to pass the upper chamber.

For Gillibrand, a former House member who has indicated an interest in running for the White House, combating sexual assaults has become her signature issue.

But she is pitted against powerful lawmakers, including Senate Armed Services Committee Chairman Carl LevinCarl Milton LevinListen, learn and lead: Congressional newcomers should leave the extremist tactics at home House Democrats poised to set a dangerous precedent with president’s tax returns The Hill's 12:30 Report — Sponsored by Delta Air Lines — White House to 'temporarily reinstate' Acosta's press pass after judge issues order | Graham to take over Judiciary panel | Hand recount for Florida Senate race MORE (D-Mich.).

Levin and other senators say Gillibrand’s legislation could make it worse for victims and would torpedo the Pentagon’s system of justice.

The Pentagon opposes the Gillibrand measure.

Trying to round up more votes, Gillibrand last week suggested she was considering changing her bill, but supporters balked and Gillibrand backtracked.

In an interview on ABC’s “This Week,” she said, “We’re going to stick to the original plan because it’s a better bill.”

A competing plan is being spearheaded by Levin and Sen. Claire McCaskillClaire Conner McCaskillTrump nominees meet fiercest opposition from Warren, Sanders, Gillibrand Feds allow campaigns to accept discounted cybersecurity services GOP frets over nightmare scenario for Senate primaries MORE (D-Mo.). In recent days, the debate has intensified amid dueling press conferences.

A bipartisan agreement to merge the Gillibrand and McCaskill bills, which had seemed possible earlier this year, now seems unlikely.

The competing pieces of legislation could be debated this week as part of the Senate’s debate on the defense authorization bill. That has caused a headache for Senate Majority Leader Harry ReidHarry Mason ReidDems open to killing filibuster in next Congress Webb: Questions for Robert Mueller Steyer's impeachment solution is dead wrong MORE (D-Nev.), who has to decide how to handle the intraparty fight.

Reid usually defers to his committee chairmen. Gillibrand has waged an impressive battle, but she doesn’t appear to have the votes to trump Levin.