The other thing to do is play an Fmaj7 until your finger strength improves. This chord is 0 0 3 2 1 0. The open thin e string gives it the maj7 sound which does sound a little different to a true f but you can get away with it. If it doesn't sound passable to you dont play that high e note.

Also, if you are able you can wrap your thumb around so that you can play the chord like this

1 0 0 3 2 1 0 to get that F note in the bass.