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

This is an important week for Sen. Kirsten GillibrandKirsten GillibrandAdvocacy groups decry Trump's 'anti-family policies' ahead of White House summit This bipartisan plan is the most progressive approach to paid parental leave Bombshell Afghanistan report bolsters calls for end to 'forever wars' 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 LevinRemembering leaders who put country above party Strange bedfellows oppose the filibuster Listen, learn and lead: Congressional newcomers should leave the extremist tactics at home 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 McCaskillGinsburg health scare raises prospect of election year Supreme Court battle MSNBC's McCaskill: Trump used 'his fat thumbs' to try to intimidate Yovanovitch GOP senator rips into Pelosi at Trump rally: 'It must suck to be that dumb' 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 ReidNevada journalist: Harry Reid will play 'significant role' in Democratic primary The Hill's Morning Report - Sponsored by AdvaMed - A crucial week on impeachment The Hill's Morning Report — Pelosi makes it official: Trump will be impeached 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.